diff --git a/package-lock.json b/package-lock.json
index 97f5408..536148d 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -38,11 +38,11 @@
         "dotenv": "^17.2.3",
         "emailjs-com": "^3.2.0",
         "embla-carousel-react": "^8.6.0",
-        "firebase": "^10.7.1",
+        "firebase": "^10.9.0",
         "genkit": "1.12.0",
         "katex": "^0.16.10",
         "lucide-react": "^0.294.0",
-        "next": "^14.2.30",
+        "next": "^14.2.35",
         "next-themes": "^0.2.1",
         "node-fetch": "^3.3.2",
         "react": "18.3.1",
@@ -73,7 +73,7 @@
         "@vitejs/plugin-react": "^4.2.0",
         "autoprefixer": "10.4.15",
         "eslint": "^8.48.0",
-        "eslint-config-next": "14.2.4",
+        "eslint-config-next": "16.0.10",
         "eslint-config-prettier": "^9.0.0",
         "eslint-plugin-react": "^7.33.2",
         "fast-check": "^3.23.2",
@@ -2135,15 +2135,15 @@
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-      "resolved": "https://registry.npmjs.org/@firebase/analytics/-/analytics-0.10.0.tgz",
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+      "version": "0.10.1",
+      "resolved": "https://registry.npmjs.org/@firebase/analytics/-/analytics-0.10.1.tgz",
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       "license": "Apache-2.0",
       "dependencies": {
-        "@firebase/component": "0.6.4",
-        "@firebase/installations": "0.6.4",
+        "@firebase/component": "0.6.5",
+        "@firebase/installations": "0.6.5",
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-        "@firebase/util": "1.9.3",
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         "tslib": "^2.1.0"
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@@ -2151,15 +2151,15 @@
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-      "resolved": "https://registry.npmjs.org/@firebase/analytics-compat/-/analytics-compat-0.2.6.tgz",
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+      "version": "0.2.7",
+      "resolved": "https://registry.npmjs.org/@firebase/analytics-compat/-/analytics-compat-0.2.7.tgz",
+      "integrity": "sha512-17VCly4P0VFBDqaaal7m1nhyYQwsygtaTpSsnc51sFPRrr9XIYtnD8ficon9fneEGEoJQ2g7OtASvhwX9EbK8g==",
       "license": "Apache-2.0",
       "dependencies": {
-        "@firebase/analytics": "0.10.0",
+        "@firebase/analytics": "0.10.1",
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-        "@firebase/component": "0.6.4",
-        "@firebase/util": "1.9.3",
+        "@firebase/component": "0.6.5",
+        "@firebase/util": "1.9.4",
         "tslib": "^2.1.0"
       },
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@@ -2173,28 +2173,28 @@
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-      "resolved": "https://registry.npmjs.org/@firebase/app/-/app-0.9.25.tgz",
-      "integrity": "sha512-fX22gL5USXhOK21Hlh3oTeOzQZ6th6S2JrjXNEpBARmwzuUkqmVGVdsOCIFYIsLpK0dQE3o8xZnLrRg5wnzZ/g==",
+      "version": "0.9.29",
+      "resolved": "https://registry.npmjs.org/@firebase/app/-/app-0.9.29.tgz",
+      "integrity": "sha512-HbKTjfmILklasIu/ij6zKnFf3SgLYXkBDVN7leJfVGmohl+zA7Ig+eXM1ZkT1pyBJ8FTYR+mlOJer/lNEnUCtw==",
       "license": "Apache-2.0",
       "peer": true,
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-        "@firebase/component": "0.6.4",
+        "@firebase/component": "0.6.5",
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-        "@firebase/util": "1.9.3",
+        "@firebase/util": "1.9.4",
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     "node_modules/@firebase/app-check": {
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-      "resolved": "https://registry.npmjs.org/@firebase/app-check/-/app-check-0.8.1.tgz",
-      "integrity": "sha512-zi3vbM5tb/eGRWyiqf+1DXbxFu9Q07dnm46rweodgUpH9B8svxYkHfNwYWx7F5mjHU70SQDuaojH1We5ws9OKA==",
+      "version": "0.8.2",
+      "resolved": "https://registry.npmjs.org/@firebase/app-check/-/app-check-0.8.2.tgz",
+      "integrity": "sha512-A2B5+ldOguYAeqW1quFN5qNdruSNRrg4W59ag1Eq6QzxuHNIkrE+TrapfrW/z5NYFjCxAYqr/unVCgmk80Dwcg==",
       "license": "Apache-2.0",
       "dependencies": {
-        "@firebase/component": "0.6.4",
+        "@firebase/component": "0.6.5",
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-        "@firebase/util": "1.9.3",
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@@ -2202,16 +2202,16 @@
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-      "resolved": "https://registry.npmjs.org/@firebase/app-check-compat/-/app-check-compat-0.3.8.tgz",
-      "integrity": "sha512-EaETtChR4UgMokJFw+r6jfcIyCTUZSe0a6ivF37D9MxlG9G3wzK1COyXgxoX96GzXmDPc2aubX4PxCrdVHhrnA==",
+      "version": "0.3.9",
+      "resolved": "https://registry.npmjs.org/@firebase/app-check-compat/-/app-check-compat-0.3.9.tgz",
+      "integrity": "sha512-7LxyupQ8XeEHRh72mO+tqm69kHT6KbWi2KtFMGedJ6tNbwzFzojcXESMKN8RpADXbYoQgY3loWMJjMx4r2Zt7w==",
       "license": "Apache-2.0",
       "dependencies": {
-        "@firebase/app-check": "0.8.1",
+        "@firebase/app-check": "0.8.2",
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-        "@firebase/component": "0.6.4",
+        "@firebase/component": "0.6.5",
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-        "@firebase/util": "1.9.3",
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       },
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@@ -2231,16 +2231,16 @@
       "license": "Apache-2.0"
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-      "version": "0.2.25",
-      "resolved": "https://registry.npmjs.org/@firebase/app-compat/-/app-compat-0.2.25.tgz",
-      "integrity": "sha512-B/JtCp1FsTuzlh1tIGQpYM2AXps21/zlzpFsk5LRsROOTRhBcR2N45AyaONPFD06C0yS0Tw19foxADzHyOSC3A==",
+      "version": "0.2.29",
+      "resolved": "https://registry.npmjs.org/@firebase/app-compat/-/app-compat-0.2.29.tgz",
+      "integrity": "sha512-NqUdegXJfwphx9i/2bOE2CTZ55TC9bbDg+iwkxVShsPBJhD3CzQJkFhoDz4ccfbJaKZGsqjY3fisgX5kbDROnA==",
       "license": "Apache-2.0",
       "peer": true,
       "dependencies": {
-        "@firebase/app": "0.9.25",
-        "@firebase/component": "0.6.4",
+        "@firebase/app": "0.9.29",
+        "@firebase/component": "0.6.5",
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-        "@firebase/util": "1.9.3",
+        "@firebase/util": "1.9.4",
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@@ -2252,33 +2252,33 @@
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     "node_modules/@firebase/auth-compat": {
-      "version": "0.5.1",
-      "resolved": "https://registry.npmjs.org/@firebase/auth-compat/-/auth-compat-0.5.1.tgz",
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+      "version": "0.5.4",
+      "resolved": "https://registry.npmjs.org/@firebase/auth-compat/-/auth-compat-0.5.4.tgz",
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       "license": "Apache-2.0",
       "dependencies": {
-        "@firebase/auth": "1.5.1",
+        "@firebase/auth": "1.6.2",
         "@firebase/auth-types": "0.12.0",
-        "@firebase/component": "0.6.4",
-        "@firebase/util": "1.9.3",
+        "@firebase/component": "0.6.5",
+        "@firebase/util": "1.9.4",
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-        "undici": "5.26.5"
+        "undici": "5.28.3"
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     "node_modules/@firebase/auth-compat/node_modules/@firebase/auth": {
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-      "resolved": "https://registry.npmjs.org/@firebase/auth/-/auth-1.5.1.tgz",
-      "integrity": "sha512-sVi7rq2YneLGJFqHa5S6nDfCHix9yuVV3RLhj/pWPlB4a36ofXal4E6PJwpeMc8uLjWEr1aovYN1jkXWNB6Avw==",
+      "version": "1.6.2",
+      "resolved": "https://registry.npmjs.org/@firebase/auth/-/auth-1.6.2.tgz",
+      "integrity": "sha512-BFo/Nj1AAbKLbFiUyXCcnT/bSqMJicFOgdTAKzlXvCul7+eUE29vWmzd1g59O3iKAxvv3+fbQYjQVJpNTTHIyw==",
       "license": "Apache-2.0",
       "dependencies": {
-        "@firebase/component": "0.6.4",
+        "@firebase/component": "0.6.5",
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+        "undici": "5.28.3"
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@@ -2307,68 +2307,68 @@
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-      "resolved": "https://registry.npmjs.org/@firebase/component/-/component-0.6.4.tgz",
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+      "resolved": "https://registry.npmjs.org/@firebase/component/-/component-0.6.5.tgz",
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       "license": "Apache-2.0",
       "dependencies": {
-        "@firebase/util": "1.9.3",
+        "@firebase/util": "1.9.4",
         "tslib": "^2.1.0"
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-      "version": "1.0.2",
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+      "resolved": "https://registry.npmjs.org/@firebase/database/-/database-1.0.3.tgz",
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-        "@firebase/database": "1.0.2",
-        "@firebase/database-types": "1.0.0",
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-        "@firebase/util": "1.9.3"
+        "@firebase/util": "1.9.4"
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     "node_modules/@firebase/firestore": {
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-      "resolved": "https://registry.npmjs.org/@firebase/firestore/-/firestore-4.4.0.tgz",
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+      "version": "4.5.0",
+      "resolved": "https://registry.npmjs.org/@firebase/firestore/-/firestore-4.5.0.tgz",
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       "license": "Apache-2.0",
       "dependencies": {
-        "@firebase/component": "0.6.4",
+        "@firebase/component": "0.6.5",
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-        "undici": "5.26.5"
+        "undici": "5.28.3"
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@@ -2378,15 +2378,15 @@
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-      "resolved": "https://registry.npmjs.org/@firebase/firestore-compat/-/firestore-compat-0.3.23.tgz",
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+      "resolved": "https://registry.npmjs.org/@firebase/firestore-compat/-/firestore-compat-0.3.27.tgz",
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-        "@firebase/component": "0.6.4",
-        "@firebase/firestore": "4.4.0",
+        "@firebase/component": "0.6.5",
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@@ -2417,33 +2417,33 @@
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+      "resolved": "https://registry.npmjs.org/@firebase/functions/-/functions-0.11.2.tgz",
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+      "version": "0.3.8",
+      "resolved": "https://registry.npmjs.org/@firebase/functions-compat/-/functions-compat-0.3.8.tgz",
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       "license": "Apache-2.0",
       "dependencies": {
-        "@firebase/component": "0.6.4",
-        "@firebase/functions": "0.11.0",
+        "@firebase/component": "0.6.5",
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@@ -2457,14 +2457,14 @@
       "license": "Apache-2.0"
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-        "@firebase/util": "1.9.3",
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+      "resolved": "https://registry.npmjs.org/wrap-ansi/-/wrap-ansi-7.0.0.tgz",
+      "integrity": "sha512-YVGIj2kamLSTxw6NsZjoBxfSwsn0ycdesmc4p+Q21c5zPuZ1pl+NfxVdxPtdHvmNVOQ6XSYG4AUtyt/Fi7D16Q==",
       "license": "MIT",
       "dependencies": {
         "ansi-styles": "^4.0.0",
@@ -17120,10 +17548,14 @@
     },
     "node_modules/wrap-ansi-cjs/node_modules/emoji-regex": {
       "version": "8.0.0",
+      "resolved": "https://registry.npmjs.org/emoji-regex/-/emoji-regex-8.0.0.tgz",
+      "integrity": "sha512-MSjYzcWNOA0ewAHpz0MxpYFvwg6yjy1NG3xteoqz644VCo/RPgnr1/GGt+ic3iJTzQ8Eu3TdM14SawnVUmGE6A==",
       "license": "MIT"
     },
     "node_modules/wrap-ansi-cjs/node_modules/string-width": {
       "version": "4.2.3",
+      "resolved": "https://registry.npmjs.org/string-width/-/string-width-4.2.3.tgz",
+      "integrity": "sha512-wKyQRQpjJ0sIp62ErSZdGsjMJWsap5oRNihHhu6G7JVO/9jIB6UyevL+tXuOqrng8j/cxKTWyWUwvSTriiZz/g==",
       "license": "MIT",
       "dependencies": {
         "emoji-regex": "^8.0.0",
@@ -17135,7 +17567,9 @@
       }
     },
     "node_modules/wrap-ansi/node_modules/ansi-regex": {
-      "version": "6.2.0",
+      "version": "6.2.2",
+      "resolved": "https://registry.npmjs.org/ansi-regex/-/ansi-regex-6.2.2.tgz",
+      "integrity": "sha512-Bq3SmSpyFHaWjPk8If9yc6svM8c56dB5BAtW4Qbw5jHTwwXXcTLoRMkpDJp6VL0XzlWaCHTXrkFURMYmD0sLqg==",
       "license": "MIT",
       "engines": {
         "node": ">=12"
@@ -17145,7 +17579,9 @@
       }
     },
     "node_modules/wrap-ansi/node_modules/ansi-styles": {
-      "version": "6.2.1",
+      "version": "6.2.3",
+      "resolved": "https://registry.npmjs.org/ansi-styles/-/ansi-styles-6.2.3.tgz",
+      "integrity": "sha512-4Dj6M28JB+oAH8kFkTLUo+a2jwOFkuqb3yucU0CANcRRUbxS0cP0nZYCGjcc3BNXwRIsUVmDGgzawme7zvJHvg==",
       "license": "MIT",
       "engines": {
         "node": ">=12"
@@ -17155,7 +17591,9 @@
       }
     },
     "node_modules/wrap-ansi/node_modules/strip-ansi": {
-      "version": "7.1.0",
+      "version": "7.1.2",
+      "resolved": "https://registry.npmjs.org/strip-ansi/-/strip-ansi-7.1.2.tgz",
+      "integrity": "sha512-gmBGslpoQJtgnMAvOVqGZpEz9dyoKTCzy2nfz/n8aIFhN/jCE/rCmcxabB6jOOHV+0WNnylOxaxBQPSvcWklhA==",
       "license": "MIT",
       "dependencies": {
         "ansi-regex": "^6.0.1"
@@ -17296,6 +17734,19 @@
         "zod": "^3.24.1"
       }
     },
+    "node_modules/zod-validation-error": {
+      "version": "4.0.2",
+      "resolved": "https://registry.npmjs.org/zod-validation-error/-/zod-validation-error-4.0.2.tgz",
+      "integrity": "sha512-Q6/nZLe6jxuU80qb/4uJ4t5v2VEZ44lzQjPDhYJNztRQ4wyWc6VF3D3Kb/fAuPetZQnhS3hnajCf9CsWesghLQ==",
+      "dev": true,
+      "license": "MIT",
+      "engines": {
+        "node": ">=18.0.0"
+      },
+      "peerDependencies": {
+        "zod": "^3.25.0 || ^4.0.0"
+      }
+    },
     "node_modules/zwitch": {
       "version": "2.0.4",
       "license": "MIT",
diff --git a/package.json b/package.json
index f1e7d05..8b02474 100644
--- a/package.json
+++ b/package.json
@@ -48,11 +48,11 @@
     "dotenv": "^17.2.3",
     "emailjs-com": "^3.2.0",
     "embla-carousel-react": "^8.6.0",
-    "firebase": "^10.7.1",
+    "firebase": "^10.9.0",
     "genkit": "1.12.0",
     "katex": "^0.16.10",
     "lucide-react": "^0.294.0",
-    "next": "^14.2.30",
+    "next": "^14.2.35",
     "next-themes": "^0.2.1",
     "node-fetch": "^3.3.2",
     "react": "18.3.1",
@@ -83,7 +83,7 @@
     "@vitejs/plugin-react": "^4.2.0",
     "autoprefixer": "10.4.15",
     "eslint": "^8.48.0",
-    "eslint-config-next": "14.2.4",
+    "eslint-config-next": "16.0.10",
     "eslint-config-prettier": "^9.0.0",
     "eslint-plugin-react": "^7.33.2",
     "fast-check": "^3.23.2",