On iOS 16, videos are grayed out and obscured by controls. You can click on the video but off the controls to hide them, but they reappear on the next card.
In the ASL basics deck the videos are only 2-4 seconds long so by the time you can clear the controls and get you finger out of the way, you’ve missed most of the video. The deck is nearly impossible to study.
There don’t seem to be any settings in Anki or the Settings app to fix this.