Epic: #299
Backend Dependency: This issue requires backend support first.
Blocked by: nearai/chat-api#120 -> nearai/chat-api#139
Frontend Fix:
Description
Shared conversations lack real-time synchronization for users with "Can edit" permissions. When one user sends a message, other users with edit access in the same conversation do not see the new message automatically. This breaks the collaborative nature of shared conversations, making them behave like static, non-interactive documents.