Old school tools to the rescue for Nest and other surveillance cameras with unwanted status indicator lights.
What you need to buy
Black Electrical Tape: https://amzn.to/3mCSjnv
and that's it, since I assume you already have the nest camera, but if not:
Nest Indoor Camera: https://amzn.to/3yqEzii
Nest Outdoor Camera: https://amzn.to/3ZwzReX