I'm pretty sure the Facecam has a standard camera threaded mount..

So you could simply get something like this for it:

https://www.amazon.com/Webcam-Stand-Compatible-Elgato-Facecam/dp/B09LQRYVCK

or if you are looking for something more sturdy, Elgato offers a numerous amount of mounting options: https://www.elgato.com/en/multi-mount-system