Remote Control: /clear on mobile doesn't sync to desktop session

Session with Remote Control enabled, shared between desktop (Code tab, Windows) and mobile app.

1. Ran /clear from the mobile app.
2. Mobile app: conversation cleared, only the /clear command entry remains visible.
3. Desktop app (same session, Remote Control "on"): full prior conversation still visible, /clear command itself is not shown in desktop transcript.
4. Reproduced after fully closing and reopening the desktop session window - old conversation persists.

Expected: /clear on one client should sync and clear the transcript on all clients connected via Remote Control (or at least show the /clear entry consistently).