[Remote] Automatic session title changes are not synchronized to web history

## Bug
A session title that is automatically renamed in the desktop client is not reflected promptly in BitFun Remote.

## Expected behavior
When the desktop client changes a session title, the same title should appear in the remote session history immediately or after a short, bounded delay.

## Actual behavior
The title changes locally, but the remote history continues to show the old title until the session list is fetched again. This is especially confusing when several sessions are active.

## Reproduction
1. Open the same BitFun account in the desktop client and BitFun Remote.
2. Start or open an assistant session whose title is automatically generated/renamed.
3. Confirm the new title in the desktop client.
4. Open or return to the remote session history and observe the old title.

## Environment
- BitFun 0.2.17
- macOS desktop client
- BitFun Remote web UI via relay

## Notes
The desktop-side session metadata is updated. The remote client appears to update its local store only for a rename performed from the web UI and does not handle an incoming session-title update event from the desktop side.

Trace the desktop client's session metadata update, the incoming session-title update event, the BitFun Remote local store, and the remote session history refresh path. Reproduce with the listed desktop and web clients, then verify that an automatic desktop rename reaches remote history immediately or within the agreed bounded delay without requiring a session-list fetch.

Written by the indexing model from the issue text.