That dmesg is from kernel 5.15.60-1 so just to be sure: uname -a now tells you you’re on 6.0.8-1?
There’s in any case nothing of interest in there regarding audio – except then that it seems all’s in fact fine. As such I will again need to ask if e.g. pactl list cards shows the “HDA Intel” card. And/or whether or not you see the Pulseaudio plugin on your systray (the speaker icon) and if the card’s shown if you click that.
I’ve seen others suggest to try and have just one of Pulseaudio and Pipewire running. You have both – but I also have and this should be fine.
Does speaker-test -D hw:0 -c 2 -t sine -l 1 produce sound? (a sine first on one, then the other channel).
If not; does alsamixer -c 0 show all volumes not zero and no channels muted, i.e., all with a “OO” in green under the sliders as in the attached example?
Still not seeing any issue and fairly specifically not seeing any issue that would keep Pulseaudio from providing you with a fully functional Pulseaudio plugin complete with e.g. volume controls when clicked in the systray – which you appear to say you did not have.
Please confirm: no controls visible from clicking the speaker icon in the systray? No possibility to from there go to the “audio mixer”?
Okay, well, unfortunate, but it seems I need to give up: I have absolutely no idea why you don’t have sound; all we checked seems to be saying all is hunky-dory.