Updates in Profile Name doesnot Sync across Peers

When users update their profile name, the change isn’t propagated to nearby peers in real time, causing inconsistencies across different chat sessions. This issue aims to ensure instantaneous or near-instantaneous synchronization of user profile updates.

Goals:
• Immediately reflect profile name changes in all relevant client sessions.
• Maintain consistency in chat history by updating names used in recent messages (where applicable).

Possible Approach:
• Use nearby message broadcasting to inform all connected peers about the Update in a user’s profile
• Consider caching for offline users where updates need to sync once a connection is re-established between peers.