grep through the syslog for snd_hda messages (exclude C1D1 which should be your HDMI device - your log listed hdaudioC0D0 as the cs8409) - there should be other messages - also those with snd_hda_intel In particular look for snd_hda_intel: Primary patch_cs8409 NOT FOUND trying APPLE ...
hda_cs_dsp_ctl.c linux-6.2.9/sound/pci/hda/hda_cs_dsp_ctl.h linux-6.2.9/sound/pci/hda/hda_eld.c linux-6.2.9/sound/pci/hda/hda_generic.c linux-6.2.9/sound/pci/hda/hda_generic.h linux-6.2.9/sound/pci/hda/hda_hwdep.c linux-6.2.9/sound/pci/hda/hda_intel.c linux-6.2.9/...