INTEL/NVIDIA dual GPU : no nvidia-driver

I had very similar issues with my XPS 9570, see my thread.
I just managed to solve them by

  1. Update and boot into the latest kernel 5.16.2-1
  2. Remove video-linux graphics driver
sudo mhwd -r pci video-linux
  1. Update BIOS as in [1]
  2. Remove the unsupported kernel version (had 5.13 before, without this the next step did not work)
  3. Reinstall the graphics drivers using mhwd:
sudo mhwd -r pci video-hybrid-intel-nvidia-prime
sudo mhwd -a pci nonfree 0300

Everything runs fine again. I do not know whether all of the steps were necessary.