I always put Magic Tape™ over my camera. When you turn it on you get a blurry image as if you were looking through a frosted window. You can make a show of wiping it and tell them that the lense must be damaged. Worst case scenario you get shipped a webcam or a new laptop. Unlikely though. Just remember to remove the tape before returning the computer.
The video equipment in our meeting rooms in office automatically count, zoom in on everyone and cut out a frame so you can see each individual. Great for introverts.