I do video and photography on the side. It looks like Cuckoo just uses one camera (probably 4k) then in post, he makes a copy of the video, crops it to the screen and scales it up. At least, that’s how it appears in most of the videos that I’ve seen. You can actually do the same live with OBS (free screen recording software) just by having your main source duplicated, cropped and scaled.
The main thing is to make sure you have lots of light. If not then if you expose for the screen, the rest of the machine will appear very dark. Or the other way around, your screen will appear to bright. Either way, make sure your exposure it set properly.
By the way, for this kind of video you can actually just use a 4K cellphone instead of trying to get an expensive high end camera. I recommend recording your voice with a microphone or separate audio recorder instead of relying on the internal mic. Another thing is that if you are using a cellphone it’s probably a good idea to get a separate Video recording app that lets you lock the exposure instead it setting it automatically.