fix(livekit): restore media controls after breakout room switches

Maximilian Fußrequested to merge
m.fuss/web-app:3616-breakout-room-restore-media-controls-after-room-switches into release/v2.8.x

fix(livekit): restore media controls after breakout room switches

Closes #3616 (closed)

Closes #3616 (closed)

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