Move /api/auth/status endpoint from app/server/ to server/ directory.
Nuxt expects server API routes to be in /server/api/, not /app/server/api/.
This fixes the issue where the endpoint was returning HTML instead of JSON.
Create real-time session verification against Authentik:
- Add /api/auth/status endpoint that reads Authentik headers live
- Modify checkSessionStatus() to fetch from API instead of local state
- Show "Verifying..." toast while checking
- Sync local state with actual Authentik session status
- Handle connection errors gracefully
This ensures the status check reflects the current Authentik session,
not just the cached local state.
