The important part is the hardware id of the camera, you have to search for this, drivers and kernel modules use this number to check if they are needed: 8086:7d19
I found a documented laptop with this camera: https://wiki.archlinux.org/title/Dell_XPS_16_(9640)#Webcam
They link to some patches there, it may work with that
As I see the date of the patch is this year March, I guess simply the laptop is too new. If you don't want to fiddle, just switch to some rolling release distro, and the patches will be merged upstream soon. After a kernel update your camera will magically start working. This would be the easiest solution if you can live some more months without the camera.
The gh thread is about the same laptop I linked in my other comment, on the arch wiki they link to some patches, maybe they work