Lightning port solution- https://a.co/d/iib6Q32

USB-C port solution- https://a.co/d/6o62r1h

Now depending on your device, the resolution of the screen can vary. This could mean compatibility issues with certain capture cards. I suggest one of the Avermedia brands, not an Elgato.

I can't help out with Android solutions. Anyone who has options, feel free to make a separate guide or message me.