GDM reported ’ something has gone wrong’ after update.
Logs indicate that there is an issue with hardware acceleration:
org.gnome-shell[927]: Running GNOME Shell (using mutter 44.4) as a Wayland display server
org.gnome.Shell.desktop[927]: MESA-LOADER: failed to open radeonsi: libLLVM-15.so: cannot open shared object file: No such file or directory (search paths /usr/lib/dri, suffix _dri)
org.gnome.Shell.desktop[927]: MESA-LOADER: failed to open zink: libLLVM-15.so: cannot open shared object file: No such file or directory (search paths /usr/lib/dri, suffix _dri)
org.gnome.Shell.desktop[927]: MESA-LOADER: failed to open kms_swrast: libLLVM-15.so: cannot open shared object file: No such file or directory (search paths /usr/lib/dri, suffix _dri)
org.gnome.Shell.desktop[927]: MESA-LOADER: failed to open swrast: libLLVM-15.so: cannot open shared object file: No such file or directory (search paths /usr/lib/dri, suffix _dri)
org.gnome-shell[927]: Failed to open gpu '/dev/dri/card0': Failed to initialize render device for /dev/dri/card0: Failed to create gbm device: No such file or directory, EGLDevice currently only works with single GPU systems
org.gnome.Shell.desktop[927]: Failed to setup: No GPUs found
...
gnome-session[982]: gnome-session-is-accelerated: No hardware 3D support.
gnome-session[973]: gnome-session-check-accelerated: GL Helper exited with code 256
gnome-session[983]: libEGL warning: DRI2: failed to authenticate
gnome-session[983]: libEGL warning: MESA-LOADER: failed to open swrast: libLLVM-15.so: cannot open shared object file: No such file or directory (search paths /usr/lib/dri, suffix _dri)
gnome-session-c[983]: eglInitialize() failed
gnome-session[973]: gnome-session-check-accelerated: GLES Helper exited with code 256
gnome-session[1048]: gnome-session-is-accelerated: No hardware 3D support.
gnome-session[984]: gnome-session-check-accelerated: GL Helper exited with code 256
gnome-session[1049]: libEGL warning: MESA-LOADER: failed to open swrast: libLLVM-15.so: cannot open shared object file: No such file or directory (search paths /usr/lib/dri, suffix _dri)
gnome-session-c[1049]: eglInitialize() failed
...
I was a user of the nonfree mesa repository, changing to default and syncing solved this for me.