Or maybe try installing sof-firmware and adding the snd_hda_intel driver to the blacklist:
echo -e "blacklist snd_hda_intel" | sudo tee /etc/modprobe.d/blacklist.conf.

Jumpy kernel alternate: snd_sof_pci_intel_tgl

maybe this driver will work.
Then show:

inxi -Axx | grep driver
lsmod | grep sof
pactl info

    I'll revisit the kernel config options in a future update. Maybe I made a mistake when I was trying to fix this in the past.

      pomon After running echo -e "blacklist snd_hda_intel" | sudo tee /etc/modprobe.d/blacklist.conf nothing seems to change as I still get snd_hda_intel:

      user@user ~ $ inxi -Axx | grep driver
        Device-1: Intel Alder Lake PCH-P High Definition Audio driver: snd_hda_intel
      user@user ~ $ lsmod | grep sof
      snd_sof_pci_intel_tgl    12288  0
      snd_sof_intel_hda_common   172032  1 snd_sof_pci_intel_tgl
      snd_sof_intel_hda_mlink    32768  1 snd_sof_intel_hda_common
      snd_sof_intel_hda      16384  1 snd_sof_intel_hda_common
      snd_sof_pci            20480  2 snd_sof_intel_hda_common,snd_sof_pci_intel_tgl
      snd_sof_xtensa_dsp     16384  1 snd_sof_intel_hda_common
      snd_sof               307200  3 snd_sof_pci,snd_sof_intel_hda_common,snd_sof_intel_hda
      snd_sof_utils          12288  1 snd_sof
      snd_soc_hdac_hda       20480  1 snd_sof_intel_hda_common
      snd_hda_ext_core       32768  4 snd_sof_intel_hda_common,snd_soc_hdac_hda,snd_sof_intel_hda_mlink,snd_sof_intel_hda
      snd_soc_acpi_intel_match    81920  2 snd_sof_intel_hda_common,snd_sof_pci_intel_tgl
      snd_soc_acpi           12288  2 snd_soc_acpi_intel_match,snd_sof_intel_hda_common
      snd_soc_core          393216  3 snd_sof,snd_sof_intel_hda_common,snd_soc_hdac_hda
      snd_intel_dspcfg       28672  3 snd_hda_intel,snd_sof,snd_sof_intel_hda_common
      snd_hda_codec         204800  6 snd_hda_codec_generic,snd_hda_codec_hdmi,snd_hda_intel,snd_hda_codec_realtek,snd_soc_hdac_hda,snd_sof_intel_hda
      snd_hda_core          131072  9 snd_hda_codec_generic,snd_hda_codec_hdmi,snd_hda_intel,snd_hda_ext_core,snd_hda_codec,snd_hda_codec_realtek,snd_sof_intel_hda_common,snd_soc_hdac_hda,snd_sof_intel_hda
      snd_pcm               184320  11 snd_hda_codec_hdmi,snd_hda_intel,snd_hda_codec,snd_sof,snd_sof_intel_hda_common,snd_compress,snd_soc_core,snd_sof_utils,snd_hda_core,snd_pcm_dmaengine
      snd                   139264  20 snd_hda_codec_generic,snd_seq,snd_seq_device,snd_hda_codec_hdmi,snd_hwdep,snd_hda_intel,snd_hda_codec,snd_hda_codec_realtek,snd_sof,snd_timer,snd_compress,snd_soc_core,snd_pcm
      user@user ~ $ pactl info
      Server String: /run/user/1000/pulse/native
      Library Protocol Version: 35
      Server Protocol Version: 35
      Is Local: yes
      Client Index: 102
      Tile Size: 65472
      User Name: user
      Host Name: user
      Server Name: PulseAudio (on PipeWire 0.3.77)
      Server Version: 15.0.0
      Default Sample Specification: float32le 2ch 48000Hz
      Default Channel Map: front-left,front-right
      Default Sink: alsa_output.pci-0000_00_1f.3.hdmi-stereo
      Default Source: alsa_output.pci-0000_00_1f.3.hdmi-stereo.monitor
      Cookie: c77a:05b0

      Mod edit: Used three backticks ( ``` ) to wrap the output so it has nicer formatting and scrollbars. 🙂
      - Evan

      pomon Okay, I tried driver blacklisting again. This time I created the file and folder /etc/modprobe.d/blacklist.conf in Nemo with root privileges instead of using the command line. Now after rebooting, the intel driver is blacklisted successfully.

      Now the following commands look like this:

      user@user ~ $ inxi -Axx | grep driver
        Device-1: Intel Alder Lake PCH-P High Definition Audio driver: N/A
      user@user ~ $ lsmod | grep sof
      snd_sof_pci_intel_tgl    12288  0
      snd_sof_intel_hda_common   172032  1 snd_sof_pci_intel_tgl
      snd_sof_intel_hda_mlink    32768  1 snd_sof_intel_hda_common
      snd_sof_intel_hda      16384  1 snd_sof_intel_hda_common
      snd_sof_pci            20480  2 snd_sof_intel_hda_common,snd_sof_pci_intel_tgl
      snd_sof_xtensa_dsp     16384  1 snd_sof_intel_hda_common
      snd_sof               307200  3 snd_sof_pci,snd_sof_intel_hda_common,snd_sof_intel_hda
      snd_sof_utils          12288  1 snd_sof
      snd_soc_hdac_hda       20480  1 snd_sof_intel_hda_common
      snd_hda_ext_core       32768  4 snd_sof_intel_hda_common,snd_soc_hdac_hda,snd_sof_intel_hda_mlink,snd_sof_intel_hda
      snd_soc_acpi_intel_match    81920  2 snd_sof_intel_hda_common,snd_sof_pci_intel_tgl
      snd_soc_acpi           12288  2 snd_soc_acpi_intel_match,snd_sof_intel_hda_common
      snd_soc_core          393216  3 snd_sof,snd_sof_intel_hda_common,snd_soc_hdac_hda
      snd_intel_dspcfg       28672  2 snd_sof,snd_sof_intel_hda_common
      snd_hda_codec         204800  2 snd_soc_hdac_hda,snd_sof_intel_hda
      snd_hda_core          131072  5 snd_hda_ext_core,snd_hda_codec,snd_sof_intel_hda_common,snd_soc_hdac_hda,snd_sof_intel_hda
      snd_pcm               184320  8 snd_hda_codec,snd_sof,snd_sof_intel_hda_common,snd_compress,snd_soc_core,snd_sof_utils,snd_hda_core,snd_pcm_dmaengine
      snd                   139264  11 snd_seq,snd_seq_device,snd_hwdep,snd_hda_codec,snd_sof,snd_timer,snd_compress,snd_soc_core,snd_pcm
      user@user ~ $ pactl info
      Server String: /run/user/1000/pulse/native
      Library Protocol Version: 35
      Server Protocol Version: 35
      Is Local: yes
      Client Index: 77
      Tile Size: 65472
      User Name: user
      Host Name: user
      Server Name: PulseAudio (on PipeWire 0.3.77)
      Server Version: 15.0.0
      Default Sample Specification: float32le 2ch 48000Hz
      Default Channel Map: front-left,front-right
      Default Sink: auto_null
      Default Source: auto_null.monitor
      Cookie: e042:c096

      I have sof-firmware installed, but is it not found?

      ReillyBrogan How did I miss this?

      user@user ~ $ systemctl --user stop pipewire-pulse.service
      user@user ~ $ systemctl --user start pulseaudio

      Well I tried it now and have sound. : Thank you and sorry.

      PS: I have both pipewire and pulseaudio packages installed. Removing the unused package was not necessary. And no reboot was needed (infact you should not reboot) after running these commands for the sound to start working. Now I just need to figure out how to make the change persist a reboot 🙂

        I was finally able to make the fix permanent like this:

        $ systemctl --user disable pipewire-pulse.service
        $ systemctl --user enable pulseaudio

        What's the output of sudo dmesg? Upload it to pastebin or a similar site and post the output here.

          I have Solus Gnome:

          inxi -Aaz
          Audio:
          Device-1: Intel Sunrise Point-LP HD Audio vendor: ASUSTeK
          driver: snd_hda_intel v: kernel bus-ID: 00:1f.3 chip-ID: 8086:9d70
          class-ID: 0403
          API: ALSA v: k6.4.11-251.current status: kernel-api
          tools: alsactl,alsamixer,amixer
          Server-1: sndiod v: N/A status: off tools: aucat,midicat,sndioctl
          Server-2: JACK v: 1.9.22 status: off tools: jack_control
          Server-3: PipeWire v: 0.3.78 status: active with: 1: pipewire-pulse
          status: active 2: wireplumber status: active tools: pw-cat,pw-cli,wpctl
          Server-4: PulseAudio v: 16.1 status: off (using pipewire-pulse)
          tools: pacat,pactl

          Found a solution, it was this:

          user@user ~ $ systemctl --user start pulseaudio

          but WITHOUT stopping pipewire-pulse.service.

          Then I followed jumpy to make this permanent

          $ systemctl --user enable pulseaudio

          Thanks everyone!

          Yes, but pulseaudio is no longer supported on Solus and the server may be removed in a future package update. It would be better to figure out the root cause of this issue so we can get it fixed before then with PipeWire. It looks like SOF might not be loading your firmware, can you try sudo journalctl -b0 > bad-audio.log and upload it to Pastebin? Paste the link here.

            4 days later
            6 days later

            I have several days of testing behind now and the solution I marked earlier doesn't seem to function consistently. The sounds might work for a while, but then stop working again. This also stalls YouTube video playback on Firefox and Vivaldi without any error message. Incase there's another Intel NUC user out there reading this, I would like to hear whether this sound issue affects your NUC version as well or not?

            16 days later

            I recently bought and installed a new monitor. It connects through USB-C and seems to have solved the sound issues I had with HDMI.

            6 days later

            jp923 Nicely spotted. I indeed had not upgraded to the latest bios. Upgrading solved some issues I was having with the USB-C ports.