[Image][Radio] Protoype of image widget in radio widget options.

[catandthemachines]

Summary:

Issue: LEMS-3580

Test plan:

[github-actions]

🗄️ Schema Change: Changes Detected ⚠️

Usually this means you need to update the Go parser
that Content Platform maintains!!!
See this list of post-mortems for more information.

This PR contains critical changes to Perseus. Please review
the changes and note that you may need to coordinate
deployment of these changes with other teams at Khan Academy.

diff --unified /home/runner/work/_temp/branch-compare/base/schema.d.ts /home/runner/work/_temp/branch-compare/pr/schema.d.ts
--- /home/runner/work/_temp/branch-compare/base/schema.d.ts	2026-01-30 00:10:21.693797848 +0000
+++ /home/runner/work/_temp/branch-compare/pr/schema.d.ts	2026-01-30 00:10:09.621796463 +0000
@@ -1152,6 +1152,7 @@
      * the radio widget. The format of this ID is subject to change.
      */
     id: string;
+    widgets?: PerseusWidgetsMap;
     rationale?: string;
     correct?: boolean;
     isNoneOfTheAbove?: boolean;

[github-actions]

🛠️ Item Splitting: No Changes ✅

[github-actions]

Size Change: -1.06 kB (-0.22%)

Total Size: 484 kB

Filename	Size	Change
packages/perseus-editor/dist/es/index.js	98.1 kB	-1.09 kB (-1.09%)
packages/perseus/dist/es/index.js	187 kB	+24 B (+0.01%)

ℹ️ View Unchanged

Filename	Size
packages/kas/dist/es/index.js	20.8 kB
packages/keypad-context/dist/es/index.js	1 kB
packages/kmath/dist/es/index.js	5.98 kB
packages/math-input/dist/es/index.js	98.5 kB
packages/math-input/dist/es/strings.js	1.61 kB
packages/perseus-core/dist/es/index.item-splitting.js	12.1 kB
packages/perseus-core/dist/es/index.js	25 kB
packages/perseus-linter/dist/es/index.js	8.83 kB
packages/perseus-score/dist/es/index.js	9.32 kB
packages/perseus-utils/dist/es/index.js	403 B
packages/perseus/dist/es/strings.js	7.44 kB
packages/pure-markdown/dist/es/index.js	1.39 kB
packages/simple-markdown/dist/es/index.js	6.71 kB

_{compressed-size-action}