PhotoBooth cannot take videos
MacBook Pro M1 Monterey 12.0.1: Camera works fine, Photos work in PhotoBooth, video doesn't.
MacBook Pro (2020 and later)
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Hi jess-wiseman,
Welcome to the Apple Community.
Wondering if updating to the newest version of Monterey would help.
OR
Have you tried recording a video in Photo Booth following Apple's guidance (Eg: below) ?
If so, what happens ?
Apple support's article
Take a photo or record a video in Photo Booth on Mac – Apple Support
Says:
- In the Photo Booth app
on your Mac, if you see the View Photo button 
or the View Video button 
, click it to see the Take Photo button 
or Record Video button 
. - If the Record Video button isn’t showing, at the bottom left, click the Record a movie clip button
. 
- Click the Record Video button . Click the Stop button
when you finish recording.
___________________________________________________________________________
Above article comes from the handy:
Photo Booth User Guide for Mac – Apple Support
NB: Click "Table of Contents" at the top of the Welcome page that opens from the link.
All the best :-)