Implement UUID-based tracking for OBS groups to handle renames

- Add group_uuid column to teams table for reliable OBS scene tracking
- Update createGroup API to store OBS scene UUID when creating groups
- Enhance verifyGroups API with UUID-first matching and name fallback
- Add comprehensive verification system to detect sync issues between database and OBS
- Implement UI indicators for UUID linking, name mismatches, and invalid groups
- Add "Clear Invalid" and "Update Name" actions for fixing synchronization problems
- Create migration script for existing databases to add UUID column
- Update Team type definition to include optional group_uuid field

This resolves issues where manually renaming groups in OBS would break the synchronization
between the database and OBS, providing a more robust group management system.

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

package.json

@@ -12,7 +12,8 @@
     "test:watch": "jest --watch",
     "test:coverage": "jest --coverage",
     "test:ci": "jest --coverage --watchAll=false",
-    "create-sat-summer-2025-tables": "tsx scripts/createSatSummer2025Tables.ts"
+    "create-sat-summer-2025-tables": "tsx scripts/createSatSummer2025Tables.ts",
+    "add-group-uuid-column": "tsx scripts/addGroupUuidColumn.ts"
   },
   "dependencies": {
     "@tailwindcss/postcss": "^4.1.11",