I wanted to mount my old Logitech C920 in my new Core One. I remixed together a corner mount for the Core One and the really excellently-modeled C930-to-gopro adapter by ochm to build this mount.
You'll need to take apart your camera a bit to remove the standard mounting arm and replace it with this mount. See https://www.ifixit.com/Guide/Logitech+C920+Webcam+Disassembly/115077 for instructions (only through the part where you remove the metal mounting arms)
Cable routing is tricky with this camera; theres a hole in the Filament holder on the core one that will fit a USB-A plug, but not the ferrite core on the camera's cord; there's also a plugged hole on the back that won't quite fit the USB-A plug. Either of those could be enlarged if you want to get a Dremel out, but I wanted to avoid that. Instead I ran the cable out one of the gaps where the top rails come to a point (see photo). This is a little dicey because the cable is quite pinched but it seemed like the easiest thing without cutting into either the steel or the acrylic panels.
The author remixed this model.
I remixed together the corner camera mount for the Logitech C270 by MenschMeier and the the Logitech C930 mount by ochm, and made holes for the 3.2x1.6 round magnets I had sitting around.