there seems to be some regression in kernel 5.13 that is triggered on (some) boards with intel hda sound of newest version like yours.
With `cat /proc/asound/cards` you could test, if your card is recognized from the kernel. For me the fist soundcard slot was just empty (the second one was HDMI and that should be the same for you).
If this is the case you could try with different parameters to the intel_hda driver. For me the parameter `probe_mask=1` has solved the problem. In the kernel documentation there is some info about this parameters for intel_hda: https://www.kernel.org/doc/html/latest/sound/hd-audio/notes.html
You can test the solution without reboot. Just unload the kernel sound modul and reload with the right parameter:
sudo modprobe -r snd_hda_intel sudo modprobe snd_hda_intel probe_mask=1
If this really solves your problem, you could make the solution permanent with this modprobe configuration file:
echo "options snd-hda-intel probe_mask=1" \ | sudo tee /etc/modprobe.d/sound.conf
Hope this helps Uwe