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>

types/index.ts

@@ -15,4 +15,5 @@ export type Team = {
     team_id: number;
     team_name: string;
     group_name?: string | null;
+    group_uuid?: string | null;
 };