YouTube Music not controllable in the media player

YouTube Music appears in the app's media player options, but playback can't be controlled from StandBy (play/pause/skip don't work). One user also reports that it doesn't show up in the player at all, even though it appears in Android's media controls. Reported on a Samsung Galaxy Tab S7 (SM-T870, Android 13), app version 2.3.1.580.
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It was also reported that it is not possible to play/pause music played from Qobuz

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