Wayland
NVIDIA works under Wayland (and Xwayland) starting with Fedora 35 and NVIDIA driver 495 and later. With GNOME 41, Wayland can be selected explicitly with GDM.
Please remind that there are known limitations with Wayland and the current NVIDIA driver either because of the driver or the Wayland protocol. See Wayland information for r545 beta release. This document might not be updated to current releases.
So Gnome DE and 470 driver will not work. Only the Nouveau driver works.
So you could try to default to the Nvidia card with the Nouveau driver and see if this solves the issue.
Another workaround is to install Cinnamon DE alongside because this uses X.
Read my post from today, i have the same issues with a different card.
Link to my post: