- Add ChatWidget component for real-time chat functionality, including unread message notifications and @mention toasts.
- Create useChat composable for managing chat messages and SSE connections.
- Update index page layout to welcome users.
- Define API routes for fetching chat messages, sending messages, and managing unread counts.
- Implement chat message storage in SQLite with necessary migrations.
- Add server-side logic for handling chat message broadcasting and user connection tracking.
- Ensure chat messages are persisted across server restarts and implement rate limiting for message sending.
