Increase VectorEngine timeouts and add image UI

Add VectorEngine image generation config and raise request timeouts (env + scripts) from 180000 to 1000000ms. Introduce a reusable CreativeImageInputPanel component with tests and wire up mobile keyboard-focus helpers; update generation views and related tests (CustomWorldGenerationView, BarkBattle editor, Match3D, Puzzle flows). Improve API error handling / VectorEngine request guidance (packages/shared http.ts and docs), and apply multiple backend/frontend fixes for puzzle/match3d/prompt handling. Also include extensive docs and decision-log updates describing UI/UX decisions and verification steps.

src/services/edutainment-baby-object/babyObjectMatchClient.test.ts

@@ -153,7 +153,7 @@ describe('babyObjectMatchClient', () => {
         signal: expect.any(AbortSignal),
       }),
     );
-    expect(BABY_OBJECT_MATCH_ASSET_REQUEST_TIMEOUT_MS).toBe(600_000);
+    expect(BABY_OBJECT_MATCH_ASSET_REQUEST_TIMEOUT_MS).toBe(1_000_000);
     expect(response.draft.itemAssets[0]).toMatchObject({
       itemId: 'baby-object-item-1',
       itemName: '苹果',