I have tried your idea of placing my camera in the lid, my thinking was the same as yours that it will be smart. But unfortunately, I couldn’t make the crooked angle fit for a workable result. I have to open the lid as in the picture, but it works perfectly for me.
I’m sorry but I don’t know the angle of my optics, I bought it for my first diode laser before I found Lightburn.
https://forum.lightburnsoftware.com/t/never-touch-a-running-system/16096?u=bernd.dk