diff --git a/package-lock.json b/package-lock.json
index 8878408..217f405 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -12,7 +12,7 @@
                 "@iconify-json/carbon": "^1.2.14",
                 "@types/dom-view-transitions": "^1.0.6",
                 "@types/node": "^24.9.2",
-                "markdown-it-mathjax3": "^4.3.2",
+                "markdown-it-mathjax3": "^5.2.0",
                 "npm-run-all": "^4.1.5",
                 "prettier": "^3.6.2",
                 "typescript": "^5.9.3",
@@ -1183,6 +1183,165 @@
                 "win32"
             ]
         },
+        "node_modules/@se-oss/deasync": {
+            "version": "1.0.1",
+            "resolved": "https://registry.npmjs.org/@se-oss/deasync/-/deasync-1.0.1.tgz",
+            "integrity": "sha512-Ha7P/xCNxOuH72BNdLRWs4TT8rsMMrERnHtfKWBeTWu+UFW9OBTrRgfZJOlbAAQFR0l4Q30cpAn8CuR7PXWcPg==",
+            "dev": true,
+            "license": "MIT",
+            "dependencies": {
+                "type-fest": "^4.37.0"
+            },
+            "engines": {
+                "node": ">= 10"
+            },
+            "optionalDependencies": {
+                "@se-oss/deasync-darwin-arm64": "1.0.1",
+                "@se-oss/deasync-darwin-x64": "1.0.1",
+                "@se-oss/deasync-linux-arm64-gnu": "1.0.1",
+                "@se-oss/deasync-linux-arm64-musl": "1.0.1",
+                "@se-oss/deasync-linux-x64-gnu": "1.0.1",
+                "@se-oss/deasync-linux-x64-musl": "1.0.1",
+                "@se-oss/deasync-win32-arm64-msvc": "1.0.1",
+                "@se-oss/deasync-win32-x64-msvc": "1.0.1"
+            }
+        },
+        "node_modules/@se-oss/deasync-darwin-arm64": {
+            "version": "1.0.1",
+            "resolved": "https://registry.npmjs.org/@se-oss/deasync-darwin-arm64/-/deasync-darwin-arm64-1.0.1.tgz",
+            "integrity": "sha512-0YWmIDEGQfW3GGopmZHhfA6mamsG0HFKZhmBzHVyFiMKkJts8kpQwGbGrWlK8eOAoPCihOsG6tCotYR3p7HZaQ==",
+            "cpu": [
+                "arm64"
+            ],
+            "dev": true,
+            "license": "MIT",
+            "optional": true,
+            "os": [
+                "darwin"
+            ],
+            "engines": {
+                "node": ">= 10"
+            }
+        },
+        "node_modules/@se-oss/deasync-darwin-x64": {
+            "version": "1.0.1",
+            "resolved": "https://registry.npmjs.org/@se-oss/deasync-darwin-x64/-/deasync-darwin-x64-1.0.1.tgz",
+            "integrity": "sha512-r3FRTLIXqGqOb1DjTLW3YhO/Dd1vA2qRLP0Ym3Wmk3yMv6c/nm15zg6UVoXbgBu8cjbvcsI/OfbHPdErmjMWsw==",
+            "cpu": [
+                "x64"
+            ],
+            "dev": true,
+            "license": "MIT",
+            "optional": true,
+            "os": [
+                "darwin"
+            ],
+            "engines": {
+                "node": ">= 10"
+            }
+        },
+        "node_modules/@se-oss/deasync-linux-arm64-gnu": {
+            "version": "1.0.1",
+            "resolved": "https://registry.npmjs.org/@se-oss/deasync-linux-arm64-gnu/-/deasync-linux-arm64-gnu-1.0.1.tgz",
+            "integrity": "sha512-657uRew7fZAx663Li03ilLV2lN09Dqb/NxawlDu8kKmboK1BLitHJRS+taiT5oFZqyIDrU45tlQKfCrW0p0sYA==",
+            "cpu": [
+                "arm64"
+            ],
+            "dev": true,
+            "license": "MIT",
+            "optional": true,
+            "os": [
+                "linux"
+            ],
+            "engines": {
+                "node": ">= 10"
+            }
+        },
+        "node_modules/@se-oss/deasync-linux-arm64-musl": {
+            "version": "1.0.1",
+            "resolved": "https://registry.npmjs.org/@se-oss/deasync-linux-arm64-musl/-/deasync-linux-arm64-musl-1.0.1.tgz",
+            "integrity": "sha512-IE3fIQPIJtko4lx9sRam+Zz0P4xbpAPJgDCHaz6k9cP1yUvVI179B4IZRnFx0GyjyQpm0KhHoIGHJc4KUmA81Q==",
+            "cpu": [
+                "arm64"
+            ],
+            "dev": true,
+            "license": "MIT",
+            "optional": true,
+            "os": [
+                "linux"
+            ],
+            "engines": {
+                "node": ">= 10"
+            }
+        },
+        "node_modules/@se-oss/deasync-linux-x64-gnu": {
+            "version": "1.0.1",
+            "resolved": "https://registry.npmjs.org/@se-oss/deasync-linux-x64-gnu/-/deasync-linux-x64-gnu-1.0.1.tgz",
+            "integrity": "sha512-XQl7etZESGIjIraCyxfAey8ZTIJUB4dUFU3rPR/xLVn9bKpZGlJLIms0z3hoHX9mipO+Cqo53vK4IVm6A7U/ww==",
+            "cpu": [
+                "x64"
+            ],
+            "dev": true,
+            "license": "MIT",
+            "optional": true,
+            "os": [
+                "linux"
+            ],
+            "engines": {
+                "node": ">= 10"
+            }
+        },
+        "node_modules/@se-oss/deasync-linux-x64-musl": {
+            "version": "1.0.1",
+            "resolved": "https://registry.npmjs.org/@se-oss/deasync-linux-x64-musl/-/deasync-linux-x64-musl-1.0.1.tgz",
+            "integrity": "sha512-vWgFAZlqImqMV6jhCWV7C9wcCS1eb1ajhlKduBRPfyUxxkoObe+EqTG2BKJAuafxp3/KS1aUsIMJma9mhwFvow==",
+            "cpu": [
+                "x64"
+            ],
+            "dev": true,
+            "license": "MIT",
+            "optional": true,
+            "os": [
+                "linux"
+            ],
+            "engines": {
+                "node": ">= 10"
+            }
+        },
+        "node_modules/@se-oss/deasync-win32-arm64-msvc": {
+            "version": "1.0.1",
+            "resolved": "https://registry.npmjs.org/@se-oss/deasync-win32-arm64-msvc/-/deasync-win32-arm64-msvc-1.0.1.tgz",
+            "integrity": "sha512-yk7lEE7Zd8GX7o6CuUbg3HnnmUhBx4tgfn5ff3eoq05CgBO6Z3ZtL4l+utAe1cxcFaXPhyvcgnHYyA4OF544tg==",
+            "cpu": [
+                "arm64"
+            ],
+            "dev": true,
+            "license": "MIT",
+            "optional": true,
+            "os": [
+                "win32"
+            ],
+            "engines": {
+                "node": ">= 10"
+            }
+        },
+        "node_modules/@se-oss/deasync-win32-x64-msvc": {
+            "version": "1.0.1",
+            "resolved": "https://registry.npmjs.org/@se-oss/deasync-win32-x64-msvc/-/deasync-win32-x64-msvc-1.0.1.tgz",
+            "integrity": "sha512-ixizmuLGRPGyAesWUNWVzVOsvuunNb/qMqU8SmjfLR/vVgzdQEkSHFf+fkX9GXPN6FDv+DAz5uskTzhjUyCXFA==",
+            "cpu": [
+                "x64"
+            ],
+            "dev": true,
+            "license": "MIT",
+            "optional": true,
+            "os": [
+                "win32"
+            ],
+            "engines": {
+                "node": ">= 10"
+            }
+        },
         "node_modules/@shikijs/core": {
             "version": "2.1.0",
             "resolved": "https://registry.npmjs.org/@shikijs/core/-/core-2.1.0.tgz",
@@ -2054,15 +2213,6 @@
                 "node": ">= 14.0.0"
             }
         },
-        "node_modules/ansi-colors": {
-            "version": "4.1.3",
-            "resolved": "https://registry.npmjs.org/ansi-colors/-/ansi-colors-4.1.3.tgz",
-            "integrity": "sha512-/6w/C21Pm1A7aZitlI5Ni/2J6FFQN8i1Cvz3kHABAAbw93v/NlvKdVOqz7CCWz/3iv/JplRSEEZ83XION15ovw==",
-            "dev": true,
-            "engines": {
-                "node": ">=6"
-            }
-        },
         "node_modules/ansi-styles": {
             "version": "3.2.1",
             "resolved": "https://registry.npmjs.org/ansi-styles/-/ansi-styles-3.2.1.tgz",
@@ -2170,12 +2320,6 @@
                 "url": "https://github.com/sponsors/antfu"
             }
         },
-        "node_modules/boolbase": {
-            "version": "1.0.0",
-            "resolved": "https://registry.npmjs.org/boolbase/-/boolbase-1.0.0.tgz",
-            "integrity": "sha512-JZOSA7Mo9sNGB8+UjSgzdLtokWAky1zbztM3WRLCbZ70/3cTANmQmOdR7y2g+J0e2WXywy1yS468tY+IruqEww==",
-            "dev": true
-        },
         "node_modules/brace-expansion": {
             "version": "1.1.12",
             "resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-1.1.12.tgz",
@@ -2276,43 +2420,6 @@
                 "url": "https://github.com/sponsors/wooorm"
             }
         },
-        "node_modules/cheerio": {
-            "version": "1.0.0-rc.10",
-            "resolved": "https://registry.npmjs.org/cheerio/-/cheerio-1.0.0-rc.10.tgz",
-            "integrity": "sha512-g0J0q/O6mW8z5zxQ3A8E8J1hUgp4SMOvEoW/x84OwyHKe/Zccz83PVT4y5Crcr530FV6NgmKI1qvGTKVl9XXVw==",
-            "dev": true,
-            "dependencies": {
-                "cheerio-select": "^1.5.0",
-                "dom-serializer": "^1.3.2",
-                "domhandler": "^4.2.0",
-                "htmlparser2": "^6.1.0",
-                "parse5": "^6.0.1",
-                "parse5-htmlparser2-tree-adapter": "^6.0.1",
-                "tslib": "^2.2.0"
-            },
-            "engines": {
-                "node": ">= 6"
-            },
-            "funding": {
-                "url": "https://github.com/cheeriojs/cheerio?sponsor=1"
-            }
-        },
-        "node_modules/cheerio-select": {
-            "version": "1.6.0",
-            "resolved": "https://registry.npmjs.org/cheerio-select/-/cheerio-select-1.6.0.tgz",
-            "integrity": "sha512-eq0GdBvxVFbqWgmCm7M3XGs1I8oLy/nExUnh6oLqmBditPO9AqQJrkslDpMun/hZ0yyTs8L0m85OHp4ho6Qm9g==",
-            "dev": true,
-            "dependencies": {
-                "css-select": "^4.3.0",
-                "css-what": "^6.0.1",
-                "domelementtype": "^2.2.0",
-                "domhandler": "^4.3.1",
-                "domutils": "^2.8.0"
-            },
-            "funding": {
-                "url": "https://github.com/sponsors/fb55"
-            }
-        },
         "node_modules/chokidar": {
             "version": "3.6.0",
             "resolved": "https://registry.npmjs.org/chokidar/-/chokidar-3.6.0.tgz",
@@ -2371,15 +2478,6 @@
                 "url": "https://github.com/sponsors/wooorm"
             }
         },
-        "node_modules/commander": {
-            "version": "6.2.1",
-            "resolved": "https://registry.npmjs.org/commander/-/commander-6.2.1.tgz",
-            "integrity": "sha512-U7VdrJFnJgo4xjrHpTzu0yrHPGImdsmD95ZlgYSEajAn2JKzDhDTPG9kBTefmObL2w/ngeZnilk+OV9CG3d7UA==",
-            "dev": true,
-            "engines": {
-                "node": ">= 6"
-            }
-        },
         "node_modules/concat-map": {
             "version": "0.0.1",
             "resolved": "https://registry.npmjs.org/concat-map/-/concat-map-0.0.1.tgz",
@@ -2434,22 +2532,6 @@
                 "node": ">=4.8"
             }
         },
-        "node_modules/css-select": {
-            "version": "4.3.0",
-            "resolved": "https://registry.npmjs.org/css-select/-/css-select-4.3.0.tgz",
-            "integrity": "sha512-wPpOYtnsVontu2mODhA19JrqWxNsfdatRKd64kmpRbQgh1KtItko5sTnEpPdpSaJszTOhEMlF/RPz28qj4HqhQ==",
-            "dev": true,
-            "dependencies": {
-                "boolbase": "^1.0.0",
-                "css-what": "^6.0.1",
-                "domhandler": "^4.3.1",
-                "domutils": "^2.8.0",
-                "nth-check": "^2.0.1"
-            },
-            "funding": {
-                "url": "https://github.com/sponsors/fb55"
-            }
-        },
         "node_modules/css-tree": {
             "version": "3.1.0",
             "resolved": "https://registry.npmjs.org/css-tree/-/css-tree-3.1.0.tgz",
@@ -2464,18 +2546,6 @@
                 "node": "^10 || ^12.20.0 || ^14.13.0 || >=15.0.0"
             }
         },
-        "node_modules/css-what": {
-            "version": "6.1.0",
-            "resolved": "https://registry.npmjs.org/css-what/-/css-what-6.1.0.tgz",
-            "integrity": "sha512-HTUrgRJ7r4dsZKU6GjmpfRK1O76h97Z8MfS1G0FozR+oF2kG6Vfe8JE6zwrkbxigziPHinCJ+gCPjA9EaBDtRw==",
-            "dev": true,
-            "engines": {
-                "node": ">= 6"
-            },
-            "funding": {
-                "url": "https://github.com/sponsors/fb55"
-            }
-        },
         "node_modules/csstype": {
             "version": "3.1.3",
             "resolved": "https://registry.npmjs.org/csstype/-/csstype-3.1.3.tgz",
@@ -2623,61 +2693,6 @@
                 "url": "https://github.com/sponsors/wooorm"
             }
         },
-        "node_modules/dom-serializer": {
-            "version": "1.4.1",
-            "resolved": "https://registry.npmjs.org/dom-serializer/-/dom-serializer-1.4.1.tgz",
-            "integrity": "sha512-VHwB3KfrcOOkelEG2ZOfxqLZdfkil8PtJi4P8N2MMXucZq2yLp75ClViUlOVwyoHEDjYU433Aq+5zWP61+RGag==",
-            "dev": true,
-            "dependencies": {
-                "domelementtype": "^2.0.1",
-                "domhandler": "^4.2.0",
-                "entities": "^2.0.0"
-            },
-            "funding": {
-                "url": "https://github.com/cheeriojs/dom-serializer?sponsor=1"
-            }
-        },
-        "node_modules/domelementtype": {
-            "version": "2.3.0",
-            "resolved": "https://registry.npmjs.org/domelementtype/-/domelementtype-2.3.0.tgz",
-            "integrity": "sha512-OLETBj6w0OsagBwdXnPdN0cnMfF9opN69co+7ZrbfPGrdpPVNBUj02spi6B1N7wChLQiPn4CSH/zJvXw56gmHw==",
-            "dev": true,
-            "funding": [
-                {
-                    "type": "github",
-                    "url": "https://github.com/sponsors/fb55"
-                }
-            ]
-        },
-        "node_modules/domhandler": {
-            "version": "4.3.1",
-            "resolved": "https://registry.npmjs.org/domhandler/-/domhandler-4.3.1.tgz",
-            "integrity": "sha512-GrwoxYN+uWlzO8uhUXRl0P+kHE4GtVPfYzVLcUxPL7KNdHKj66vvlhiweIHqYYXWlw+T8iLMp42Lm67ghw4WMQ==",
-            "dev": true,
-            "dependencies": {
-                "domelementtype": "^2.2.0"
-            },
-            "engines": {
-                "node": ">= 4"
-            },
-            "funding": {
-                "url": "https://github.com/fb55/domhandler?sponsor=1"
-            }
-        },
-        "node_modules/domutils": {
-            "version": "2.8.0",
-            "resolved": "https://registry.npmjs.org/domutils/-/domutils-2.8.0.tgz",
-            "integrity": "sha512-w96Cjofp72M5IIhpjgobBimYEfoPjx1Vx0BSX9P30WBdZW2WIKU0T1Bd0kz2eNZ9ikjKgHbEyKx8BB6H1L3h3A==",
-            "dev": true,
-            "dependencies": {
-                "dom-serializer": "^1.0.1",
-                "domelementtype": "^2.2.0",
-                "domhandler": "^4.2.0"
-            },
-            "funding": {
-                "url": "https://github.com/fb55/domutils?sponsor=1"
-            }
-        },
         "node_modules/duplexer": {
             "version": "0.1.2",
             "resolved": "https://registry.npmjs.org/duplexer/-/duplexer-0.1.2.tgz",
@@ -2692,15 +2707,6 @@
             "dev": true,
             "license": "MIT"
         },
-        "node_modules/entities": {
-            "version": "2.2.0",
-            "resolved": "https://registry.npmjs.org/entities/-/entities-2.2.0.tgz",
-            "integrity": "sha512-p92if5Nz619I0w+akJrLZH0MX0Pb5DX39XOwQTtXSdQQOaYH03S1uIQp4mhOZtAXrxq4ViO67YTiLBo2638o9A==",
-            "dev": true,
-            "funding": {
-                "url": "https://github.com/fb55/entities?sponsor=1"
-            }
-        },
         "node_modules/error-ex": {
             "version": "1.3.2",
             "resolved": "https://registry.npmjs.org/error-ex/-/error-ex-1.3.2.tgz",
@@ -2872,18 +2878,6 @@
                 "@esbuild/win32-x64": "0.21.5"
             }
         },
-        "node_modules/escape-goat": {
-            "version": "3.0.0",
-            "resolved": "https://registry.npmjs.org/escape-goat/-/escape-goat-3.0.0.tgz",
-            "integrity": "sha512-w3PwNZJwRxlp47QGzhuEBldEqVHHhh8/tIPcl6ecf2Bou99cdAt0knihBV0Ecc7CGxYduXVBDheH1K2oADRlvw==",
-            "dev": true,
-            "engines": {
-                "node": ">=10"
-            },
-            "funding": {
-                "url": "https://github.com/sponsors/sindresorhus"
-            }
-        },
         "node_modules/escape-string-regexp": {
             "version": "1.0.5",
             "resolved": "https://registry.npmjs.org/escape-string-regexp/-/escape-string-regexp-1.0.5.tgz",
@@ -2893,15 +2887,6 @@
                 "node": ">=0.8.0"
             }
         },
-        "node_modules/esm": {
-            "version": "3.2.25",
-            "resolved": "https://registry.npmjs.org/esm/-/esm-3.2.25.tgz",
-            "integrity": "sha512-U1suiZ2oDVWv4zPO56S0NcR5QriEahGtdN2OR6FiOG4WJvcjBVFB0qI4+eKoWFH483PKGuLuu6V8Z4T5g63UVA==",
-            "dev": true,
-            "engines": {
-                "node": ">=6"
-            }
-        },
         "node_modules/estree-walker": {
             "version": "2.0.2",
             "resolved": "https://registry.npmjs.org/estree-walker/-/estree-walker-2.0.2.tgz",
@@ -3258,25 +3243,6 @@
                 "url": "https://github.com/sponsors/wooorm"
             }
         },
-        "node_modules/htmlparser2": {
-            "version": "6.1.0",
-            "resolved": "https://registry.npmjs.org/htmlparser2/-/htmlparser2-6.1.0.tgz",
-            "integrity": "sha512-gyyPk6rgonLFEDGoeRgQNaEUvdJ4ktTmmUh/h2t7s+M8oPpIPxgNACWa+6ESR57kXstwqPiCut0V8NRpcwgU7A==",
-            "dev": true,
-            "funding": [
-                "https://github.com/fb55/htmlparser2?sponsor=1",
-                {
-                    "type": "github",
-                    "url": "https://github.com/sponsors/fb55"
-                }
-            ],
-            "dependencies": {
-                "domelementtype": "^2.0.1",
-                "domhandler": "^4.0.0",
-                "domutils": "^2.5.2",
-                "entities": "^2.0.0"
-            }
-        },
         "node_modules/internal-slot": {
             "version": "1.0.7",
             "resolved": "https://registry.npmjs.org/internal-slot/-/internal-slot-1.0.7.tgz",
@@ -3616,25 +3582,6 @@
             "integrity": "sha512-mrqyZKfX5EhL7hvqcV6WG1yYjnjeuYDzDhhcAAUrq8Po85NBQBJP+ZDUT75qZQ98IkUoBqdkExkukOU7Ts2wrw==",
             "dev": true
         },
-        "node_modules/juice": {
-            "version": "8.1.0",
-            "resolved": "https://registry.npmjs.org/juice/-/juice-8.1.0.tgz",
-            "integrity": "sha512-FLzurJrx5Iv1e7CfBSZH68dC04EEvXvvVvPYB7Vx1WAuhCp1ZPIMtqxc+WTWxVkpTIC2Ach/GAv0rQbtGf6YMA==",
-            "dev": true,
-            "dependencies": {
-                "cheerio": "1.0.0-rc.10",
-                "commander": "^6.1.0",
-                "mensch": "^0.3.4",
-                "slick": "^1.12.2",
-                "web-resource-inliner": "^6.0.1"
-            },
-            "bin": {
-                "juice": "bin/juice"
-            },
-            "engines": {
-                "node": ">=10.0.0"
-            }
-        },
         "node_modules/kolorist": {
             "version": "1.8.0",
             "resolved": "https://registry.npmjs.org/kolorist/-/kolorist-1.8.0.tgz",
@@ -3723,26 +3670,22 @@
             "dev": true
         },
         "node_modules/markdown-it-mathjax3": {
-            "version": "4.3.2",
-            "resolved": "https://registry.npmjs.org/markdown-it-mathjax3/-/markdown-it-mathjax3-4.3.2.tgz",
-            "integrity": "sha512-TX3GW5NjmupgFtMJGRauioMbbkGsOXAAt1DZ/rzzYmTHqzkO1rNAdiMD4NiruurToPApn2kYy76x02QN26qr2w==",
+            "version": "5.2.0",
+            "resolved": "https://registry.npmjs.org/markdown-it-mathjax3/-/markdown-it-mathjax3-5.2.0.tgz",
+            "integrity": "sha512-R+XAy5/7vSGuhG9Z0/cJm6zKxOzStcScfSKVwoarh4nBra+v1KClvbALr/xFTEe9iQhwfQM4SJnO68LXL+btMA==",
             "dev": true,
+            "license": "MIT",
             "dependencies": {
-                "juice": "^8.0.0",
-                "mathjax-full": "^3.2.0"
+                "@se-oss/deasync": "^1.0.1",
+                "mathxyjax3": "^0.8.3"
             }
         },
-        "node_modules/mathjax-full": {
-            "version": "3.2.2",
-            "resolved": "https://registry.npmjs.org/mathjax-full/-/mathjax-full-3.2.2.tgz",
-            "integrity": "sha512-+LfG9Fik+OuI8SLwsiR02IVdjcnRCy5MufYLi0C3TdMT56L/pjB0alMVGgoWJF8pN9Rc7FESycZB9BMNWIid5w==",
+        "node_modules/mathxyjax3": {
+            "version": "0.8.3",
+            "resolved": "https://registry.npmjs.org/mathxyjax3/-/mathxyjax3-0.8.3.tgz",
+            "integrity": "sha512-eXjFaiyQsTdVOeTFoFaFJ/r1FITpB1f9c5MW4FETfcoVV/+xa5SD9pS05AwugzL/gNuDtWXrTOSmoD2e0Du+UA==",
             "dev": true,
-            "dependencies": {
-                "esm": "^3.2.25",
-                "mhchemparser": "^4.1.0",
-                "mj-context-menu": "^0.6.1",
-                "speech-rule-engine": "^4.0.6"
-            }
+            "license": "MIT"
         },
         "node_modules/mdast-util-to-hast": {
             "version": "13.2.0",
@@ -3782,18 +3725,6 @@
                 "node": ">= 0.10.0"
             }
         },
-        "node_modules/mensch": {
-            "version": "0.3.4",
-            "resolved": "https://registry.npmjs.org/mensch/-/mensch-0.3.4.tgz",
-            "integrity": "sha512-IAeFvcOnV9V0Yk+bFhYR07O3yNina9ANIN5MoXBKYJ/RLYPurd2d0yw14MDhpr9/momp0WofT1bPUh3hkzdi/g==",
-            "dev": true
-        },
-        "node_modules/mhchemparser": {
-            "version": "4.2.1",
-            "resolved": "https://registry.npmjs.org/mhchemparser/-/mhchemparser-4.2.1.tgz",
-            "integrity": "sha512-kYmyrCirqJf3zZ9t/0wGgRZ4/ZJw//VwaRVGA75C4nhE60vtnIzhl9J9ndkX/h6hxSN7pjg/cE0VxbnNM+bnDQ==",
-            "dev": true
-        },
         "node_modules/micromark-util-character": {
             "version": "2.1.1",
             "resolved": "https://registry.npmjs.org/micromark-util-character/-/micromark-util-character-2.1.1.tgz",
@@ -3888,18 +3819,6 @@
             ],
             "license": "MIT"
         },
-        "node_modules/mime": {
-            "version": "2.6.0",
-            "resolved": "https://registry.npmjs.org/mime/-/mime-2.6.0.tgz",
-            "integrity": "sha512-USPkMeET31rOMiarsBNIHZKLGgvKc/LrjofAnBlOttf5ajRvqiRA8QsenbcooctK6d6Ts6aqZXBA+XbkKthiQg==",
-            "dev": true,
-            "bin": {
-                "mime": "cli.js"
-            },
-            "engines": {
-                "node": ">=4.0.0"
-            }
-        },
         "node_modules/minimatch": {
             "version": "3.1.2",
             "resolved": "https://registry.npmjs.org/minimatch/-/minimatch-3.1.2.tgz",
@@ -3924,12 +3843,6 @@
             "integrity": "sha512-vKivATfr97l2/QBCYAkXYDbrIWPM2IIKEl7YPhjCvKlG3kE2gm+uBo6nEXK3M5/Ffh/FLpKExzOQ3JJoJGFKBw==",
             "dev": true
         },
-        "node_modules/mj-context-menu": {
-            "version": "0.6.1",
-            "resolved": "https://registry.npmjs.org/mj-context-menu/-/mj-context-menu-0.6.1.tgz",
-            "integrity": "sha512-7NO5s6n10TIV96d4g2uDpG7ZDpIhMh0QNfGdJw/W47JswFcosz457wqz/b5sAKvl12sxINGFCn80NZHKwxQEXA==",
-            "dev": true
-        },
         "node_modules/mlly": {
             "version": "1.8.0",
             "resolved": "https://registry.npmjs.org/mlly/-/mlly-1.8.0.tgz",
@@ -4004,26 +3917,6 @@
             "integrity": "sha512-1nh45deeb5olNY7eX82BkPO7SSxR5SSYJiPTrTdFUVYwAl8CKMA5N9PjTYkHiRjisVcxcQ1HXdLhx2qxxJzLNQ==",
             "dev": true
         },
-        "node_modules/node-fetch": {
-            "version": "2.7.0",
-            "resolved": "https://registry.npmjs.org/node-fetch/-/node-fetch-2.7.0.tgz",
-            "integrity": "sha512-c4FRfUm/dbcWZ7U+1Wq0AwCyFL+3nt2bEw05wfxSz+DWpWsitgmSgYmy2dQdWyKC1694ELPqMs/YzUSNozLt8A==",
-            "dev": true,
-            "dependencies": {
-                "whatwg-url": "^5.0.0"
-            },
-            "engines": {
-                "node": "4.x || >=6.0.0"
-            },
-            "peerDependencies": {
-                "encoding": "^0.1.0"
-            },
-            "peerDependenciesMeta": {
-                "encoding": {
-                    "optional": true
-                }
-            }
-        },
         "node_modules/node-fetch-native": {
             "version": "1.6.7",
             "resolved": "https://registry.npmjs.org/node-fetch-native/-/node-fetch-native-1.6.7.tgz",
@@ -4078,18 +3971,6 @@
                 "node": ">= 4"
             }
         },
-        "node_modules/nth-check": {
-            "version": "2.1.1",
-            "resolved": "https://registry.npmjs.org/nth-check/-/nth-check-2.1.1.tgz",
-            "integrity": "sha512-lqjrjmaOoAnWfMmBPL+XNnynZh2+swxiX3WUE0s4yEHI6m+AwrK2UZOimIRl3X/4QctVqS8AiZjFqyOGrMXb/w==",
-            "dev": true,
-            "dependencies": {
-                "boolbase": "^1.0.0"
-            },
-            "funding": {
-                "url": "https://github.com/fb55/nth-check?sponsor=1"
-            }
-        },
         "node_modules/object-inspect": {
             "version": "1.13.1",
             "resolved": "https://registry.npmjs.org/object-inspect/-/object-inspect-1.13.1.tgz",
@@ -4170,21 +4051,6 @@
                 "node": ">=4"
             }
         },
-        "node_modules/parse5": {
-            "version": "6.0.1",
-            "resolved": "https://registry.npmjs.org/parse5/-/parse5-6.0.1.tgz",
-            "integrity": "sha512-Ofn/CTFzRGTTxwpNEs9PP93gXShHcTq255nzRYSKe8AkVpZY7e1fpmTfOyoIvjP5HG7Z2ZM7VS9PPhQGW2pOpw==",
-            "dev": true
-        },
-        "node_modules/parse5-htmlparser2-tree-adapter": {
-            "version": "6.0.1",
-            "resolved": "https://registry.npmjs.org/parse5-htmlparser2-tree-adapter/-/parse5-htmlparser2-tree-adapter-6.0.1.tgz",
-            "integrity": "sha512-qPuWvbLgvDGilKc5BoicRovlT4MtYT6JfJyBOMDsKoiT+GiuP5qyrPCnR9HcPECIJJmZh5jRndyNThnhhb/vlA==",
-            "dev": true,
-            "dependencies": {
-                "parse5": "^6.0.1"
-            }
-        },
         "node_modules/path-key": {
             "version": "2.0.1",
             "resolved": "https://registry.npmjs.org/path-key/-/path-key-2.0.1.tgz",
@@ -4665,15 +4531,6 @@
                 "node": ">=18"
             }
         },
-        "node_modules/slick": {
-            "version": "1.12.2",
-            "resolved": "https://registry.npmjs.org/slick/-/slick-1.12.2.tgz",
-            "integrity": "sha512-4qdtOGcBjral6YIBCWJ0ljFSKNLz9KkhbWtuGvUyRowl1kxfuE1x/Z/aJcaiilpb3do9bl5K7/1h9XC5wWpY/A==",
-            "dev": true,
-            "engines": {
-                "node": "*"
-            }
-        },
         "node_modules/source-map-js": {
             "version": "1.2.1",
             "resolved": "https://registry.npmjs.org/source-map-js/-/source-map-js-1.2.1.tgz",
@@ -4735,29 +4592,6 @@
                 "node": ">=0.10.0"
             }
         },
-        "node_modules/speech-rule-engine": {
-            "version": "4.0.7",
-            "resolved": "https://registry.npmjs.org/speech-rule-engine/-/speech-rule-engine-4.0.7.tgz",
-            "integrity": "sha512-sJrL3/wHzNwJRLBdf6CjJWIlxC04iYKkyXvYSVsWVOiC2DSkHmxsqOhEeMsBA9XK+CHuNcsdkbFDnoUfAsmp9g==",
-            "dev": true,
-            "dependencies": {
-                "commander": "9.2.0",
-                "wicked-good-xpath": "1.3.0",
-                "xmldom-sre": "0.1.31"
-            },
-            "bin": {
-                "sre": "bin/sre"
-            }
-        },
-        "node_modules/speech-rule-engine/node_modules/commander": {
-            "version": "9.2.0",
-            "resolved": "https://registry.npmjs.org/commander/-/commander-9.2.0.tgz",
-            "integrity": "sha512-e2i4wANQiSXgnrBlIatyHtP1odfUp0BbV5Y5nEGbxtIrStkEOAAzCUirvLBNXHLr7kwLvJl6V+4V3XV9x7Wd9w==",
-            "dev": true,
-            "engines": {
-                "node": "^12.20.0 || >=14"
-            }
-        },
         "node_modules/string.prototype.padend": {
             "version": "3.1.6",
             "resolved": "https://registry.npmjs.org/string.prototype.padend/-/string.prototype.padend-3.1.6.tgz",
@@ -4969,12 +4803,6 @@
                 "node": ">=6"
             }
         },
-        "node_modules/tr46": {
-            "version": "0.0.3",
-            "resolved": "https://registry.npmjs.org/tr46/-/tr46-0.0.3.tgz",
-            "integrity": "sha512-N3WMsuqV66lT30CrXNbEjx4GEwlow3v6rr4mCcv6prnfwhS01rkgyFdjPNBYd9br7LpXV1+Emh01fHnq2Gdgrw==",
-            "dev": true
-        },
         "node_modules/trim-lines": {
             "version": "3.0.1",
             "resolved": "https://registry.npmjs.org/trim-lines/-/trim-lines-3.0.1.tgz",
@@ -4986,11 +4814,18 @@
                 "url": "https://github.com/sponsors/wooorm"
             }
         },
-        "node_modules/tslib": {
-            "version": "2.6.2",
-            "resolved": "https://registry.npmjs.org/tslib/-/tslib-2.6.2.tgz",
-            "integrity": "sha512-AEYxH93jGFPn/a2iVAwW87VuUIkR1FVUKB77NwMF7nBTDkDrrT/Hpt/IrCJ0QXhW27jTBDcf5ZY7w6RiqTMw2Q==",
-            "dev": true
+        "node_modules/type-fest": {
+            "version": "4.41.0",
+            "resolved": "https://registry.npmjs.org/type-fest/-/type-fest-4.41.0.tgz",
+            "integrity": "sha512-TeTSQ6H5YHvpqVwBRcnLDCBnDOHWYu7IvGbHT6N8AOymcr9PJGjc1GTtiWZTYg0NCgYwvnYWEkVChQAr9bjfwA==",
+            "dev": true,
+            "license": "(MIT OR CC0-1.0)",
+            "engines": {
+                "node": ">=16"
+            },
+            "funding": {
+                "url": "https://github.com/sponsors/sindresorhus"
+            }
         },
         "node_modules/typed-array-buffer": {
             "version": "1.0.2",
@@ -5273,15 +5108,6 @@
                 "url": "https://github.com/sponsors/jonschlinkert"
             }
         },
-        "node_modules/valid-data-url": {
-            "version": "3.0.1",
-            "resolved": "https://registry.npmjs.org/valid-data-url/-/valid-data-url-3.0.1.tgz",
-            "integrity": "sha512-jOWVmzVceKlVVdwjNSenT4PbGghU0SBIizAev8ofZVgivk/TVHXSbNL8LP6M3spZvkR9/QolkyJavGSX5Cs0UA==",
-            "dev": true,
-            "engines": {
-                "node": ">=10"
-            }
-        },
         "node_modules/validate-npm-package-license": {
             "version": "3.0.4",
             "resolved": "https://registry.npmjs.org/validate-npm-package-license/-/validate-npm-package-license-3.0.4.tgz",
@@ -5452,69 +5278,6 @@
             "dev": true,
             "license": "MIT"
         },
-        "node_modules/web-resource-inliner": {
-            "version": "6.0.1",
-            "resolved": "https://registry.npmjs.org/web-resource-inliner/-/web-resource-inliner-6.0.1.tgz",
-            "integrity": "sha512-kfqDxt5dTB1JhqsCUQVFDj0rmY+4HLwGQIsLPbyrsN9y9WV/1oFDSx3BQ4GfCv9X+jVeQ7rouTqwK53rA/7t8A==",
-            "dev": true,
-            "dependencies": {
-                "ansi-colors": "^4.1.1",
-                "escape-goat": "^3.0.0",
-                "htmlparser2": "^5.0.0",
-                "mime": "^2.4.6",
-                "node-fetch": "^2.6.0",
-                "valid-data-url": "^3.0.0"
-            },
-            "engines": {
-                "node": ">=10.0.0"
-            }
-        },
-        "node_modules/web-resource-inliner/node_modules/domhandler": {
-            "version": "3.3.0",
-            "resolved": "https://registry.npmjs.org/domhandler/-/domhandler-3.3.0.tgz",
-            "integrity": "sha512-J1C5rIANUbuYK+FuFL98650rihynUOEzRLxW+90bKZRWB6A1X1Tf82GxR1qAWLyfNPRvjqfip3Q5tdYlmAa9lA==",
-            "dev": true,
-            "dependencies": {
-                "domelementtype": "^2.0.1"
-            },
-            "engines": {
-                "node": ">= 4"
-            },
-            "funding": {
-                "url": "https://github.com/fb55/domhandler?sponsor=1"
-            }
-        },
-        "node_modules/web-resource-inliner/node_modules/htmlparser2": {
-            "version": "5.0.1",
-            "resolved": "https://registry.npmjs.org/htmlparser2/-/htmlparser2-5.0.1.tgz",
-            "integrity": "sha512-vKZZra6CSe9qsJzh0BjBGXo8dvzNsq/oGvsjfRdOrrryfeD9UOBEEQdeoqCRmKZchF5h2zOBMQ6YuQ0uRUmdbQ==",
-            "dev": true,
-            "dependencies": {
-                "domelementtype": "^2.0.1",
-                "domhandler": "^3.3.0",
-                "domutils": "^2.4.2",
-                "entities": "^2.0.0"
-            },
-            "funding": {
-                "url": "https://github.com/fb55/htmlparser2?sponsor=1"
-            }
-        },
-        "node_modules/webidl-conversions": {
-            "version": "3.0.1",
-            "resolved": "https://registry.npmjs.org/webidl-conversions/-/webidl-conversions-3.0.1.tgz",
-            "integrity": "sha512-2JAn3z8AR6rjK8Sm8orRC0h/bcl/DqL7tRPdGZ4I1CjdF+EaMLmYxBHyXuKL849eucPFhvBoxMsflfOb8kxaeQ==",
-            "dev": true
-        },
-        "node_modules/whatwg-url": {
-            "version": "5.0.0",
-            "resolved": "https://registry.npmjs.org/whatwg-url/-/whatwg-url-5.0.0.tgz",
-            "integrity": "sha512-saE57nupxk6v3HY35+jzBwYa0rKSy0XR8JSxZPwgLr7ys0IBzhGviA1/TUGJLmSVqs8pb9AnvICXEuOHLprYTw==",
-            "dev": true,
-            "dependencies": {
-                "tr46": "~0.0.3",
-                "webidl-conversions": "^3.0.0"
-            }
-        },
         "node_modules/which": {
             "version": "1.3.1",
             "resolved": "https://registry.npmjs.org/which/-/which-1.3.1.tgz",
@@ -5562,21 +5325,6 @@
                 "url": "https://github.com/sponsors/ljharb"
             }
         },
-        "node_modules/wicked-good-xpath": {
-            "version": "1.3.0",
-            "resolved": "https://registry.npmjs.org/wicked-good-xpath/-/wicked-good-xpath-1.3.0.tgz",
-            "integrity": "sha512-Gd9+TUn5nXdwj/hFsPVx5cuHHiF5Bwuc30jZ4+ronF1qHK5O7HD0sgmXWSEgwKquT3ClLoKPVbO6qGwVwLzvAw==",
-            "dev": true
-        },
-        "node_modules/xmldom-sre": {
-            "version": "0.1.31",
-            "resolved": "https://registry.npmjs.org/xmldom-sre/-/xmldom-sre-0.1.31.tgz",
-            "integrity": "sha512-f9s+fUkX04BxQf+7mMWAp5zk61pciie+fFLC9hX9UVvCeJQfNHRHXpeo5MPcR0EUf57PYLdt+ZO4f3Ipk2oZUw==",
-            "dev": true,
-            "engines": {
-                "node": ">=0.1"
-            }
-        },
         "node_modules/zwitch": {
             "version": "2.0.4",
             "resolved": "https://registry.npmjs.org/zwitch/-/zwitch-2.0.4.tgz",
diff --git a/package.json b/package.json
index fe30af9..8db580b 100644
--- a/package.json
+++ b/package.json
@@ -31,7 +31,7 @@
         "@iconify-json/carbon": "^1.2.14",
         "@types/dom-view-transitions": "^1.0.6",
         "@types/node": "^24.9.2",
-        "markdown-it-mathjax3": "^4.3.2",
+        "markdown-it-mathjax3": "^5.2.0",
         "npm-run-all": "^4.1.5",
         "prettier": "^3.6.2",
         "typescript": "^5.9.3",