- Added automatic connect() invocation on page load.
- Implemented robust login flow: register or auto-login based on local flags.
- Added logout support with clean WebSocket disconnect + state reset.
- Updated NakamaProvider with getSession(), autoLogin(), registerWithUsername().
- Connected logout button and integrated updated login behavior into UI.
- Detect Nakama error code 3 ("No match ID or token found") when a
match is rejected due to incompatible match properties (e.g., mode mismatch).
- Preserve last selected game mode using a ref so client can requeue
automatically without user interaction.
- Implement fallback logic to call joinMatchmaker() again after server
rejection.
- Improve robustness of matchmaking flow by ensuring players remain
in queue until a valid match is formed.
