I would recommend using the “Use dual monitor” feature under “General” settings in Zoom and then capturing that new window. That way you can easily get rid of all the controls and other UI elements you don’t want it the recording, and I believe it’s higher quality.

The only odd this with this is that you need to have at least 3 devices connected to that Zoom call, so you, the guest, and your phone for instance. Otherwise, Zoom won’t let you pin the guest to the dual screen window.