fix(hackathon): remove Supabase dependencies completely

- Remove Supabase export from service library
- Update forgot-password and reset-password pages to use backend API
- Update layout.tsx to use useAuthStore instead of Supabase session
- Update sidebar logout to not use Supabase
- Update middleware to use SessionUser instead of Supabase
- Update use-session hook to remove Supabase dependency

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

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

libs/service/src/index.ts

@@ -2,5 +2,5 @@ export * from './api';
 export * from './hooks';
 export * from './types';
 export * from './schemas';
-export * from './supabase';
 export * from './storage';
+// Note: Supabase export removed - using backend API instead