I've been having issues getting apps to show in System Settings > Privacy & Security > Microphone & Camera, on MacOS Ventura 13.3.
I have a iMac 27-inch, Late 2013, which I used OpenCore Patcher to get the latest operating system working (required for my work).
I tried all solutions in this video and nothing worked: https://www.youtube.com/watch?v=nD-IF38E3Kw
However, I did find this solution that worked for Microphone on Stack Exchange: Solution if you are running Monterey 12.2.1 and BigSur 11.7.4 and Ventura 13.3
I'm unsure how to get a similar solution working for Camera. Here's the Microphone solution:
In Terminal, open the TCC database by running:
sqlite3 ~/Library/Application\ Support/com.apple.TCC/TCC.db
Add app by using:
insert into access values ('kTCCServiceMicrophone','<AppBundleURLname>', 0, 2, 2, 1, null, null, null, 'UNUSED', null, null, 1669648527);
Then close the connection to the database using:
Thanks to @Kubuntuer82 for providing the Microphone solution