My Breakout
Are this room's breakouts still open, and which one is mine?
The "Return to your breakout" banner is driven by sessionStorage, which is only ever cleared by a breakout_close message the client has to be running and connected to hear. Anyone who reloaded, whose phone locked, or who rejoined after the teacher closed them kept a banner offering to send them into a room that no longer exists. Broadcasting the close for longer narrows that window; it cannot close it, because a client that was not running missed every re-send. This is the question that client can ask on mount.
Deliberately available to any room participant, not just a host: it is about the CALLER's own breakout, it names no one else, and the person who needs the answer is precisely the student holding the stale banner.
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