Just an advice: Stay on hybrid gpus on xorg, since wayland is not fully ready for that. Undo every change and stay on default settings.
If the HDMI output does not work on xorg then have a look at this example:
20-reverse-prime.conf
should use the nvidia primary and passthrough the screen to the iGPU.
This way, you should have access to the HDMI output.
You need to change radeon
to intel
and replace the BusID with yours.