22.04 LTS No sound - Intel sound card snd_hda_intel not recognized

I installed Ubuntu 22.04 LTS on my laptop and while everything works great, I have no sound on my computer.

00:00.0 Host bridge: Advanced Micro Devices, Inc. [AMD] Raven/Raven2 Root Complex
    Subsystem: Hewlett-Packard Company Pavilion Laptop 15-cw1xxx
    Flags: fast devsel

03:00.1 Audio device: Advanced Micro Devices, Inc. [AMD/ATI] Raven/Raven2/Fenghuang HDMI/DP Audio Controller
    Subsystem: Hewlett-Packard Company Pavilion Laptop 15-cw1xxx
    Flags: bus master, fast devsel, latency 0, IRQ 48, IOMMU group 10
    Memory at fe7c8000 (32-bit, non-prefetchable) [size=16K]
    Capabilities: [48] Vendor Specific Information: Len=08 <?>
    Capabilities: [50] Power Management version 3
    Capabilities: [64] Express Legacy Endpoint, MSI 00
    Capabilities: [a0] MSI: Enable+ Count=1/1 Maskable- 64bit+
    Capabilities: [100] Vendor Specific Information: ID=0001 Rev=1 Len=010 <?>
    Kernel driver in use: snd_hda_intel
    Kernel modules: snd_hda_intel

03:00.6 Audio device: Advanced Micro Devices, Inc. [AMD] Family 17h (Models 10h-1fh) HD Audio Controller
    Subsystem: Hewlett-Packard Company Pavilion Laptop 15-cw1xxx
    Flags: bus master, fast devsel, latency 0, IRQ 49, IOMMU group 10
    Memory at fe7c0000 (32-bit, non-prefetchable) [size=32K]
    Capabilities: [48] Vendor Specific Information: Len=08 <?>
    Capabilities: [50] Power Management version 3
    Capabilities: [64] Express Endpoint, MSI 00
    Capabilities: [a0] MSI: Enable+ Count=1/1 Maskable- 64bit+
    Capabilities: [100] Vendor Specific Information: ID=0001 Rev=1 Len=010 <?>
    Kernel driver in use: snd_hda_intel
    Kernel modules: snd_hda_intel

For me the solution was to install the latest Sound Open Firmware (SOF) binaries from here: https://github.com/thesofproject/sof-bin

Specifically:

1. Clone the repository: git clone https://github.com/thesofproject/sof-bin.git
2. Change to directory: cd sof-bin
3. Follow: https://github.com/thesofproject/sof-bin#install-process-with-installsh (for me v2.2 worked)

sudo mv /lib/firmware/intel/sof* some_backup_location/
sudo mv /usr/local/bin/sof-*     some_backup_location/ # optional
sudo ./install.sh v2.2.x/v2.2

4. Reboot

After this the sound output as well as the microphone were working (Ubuntu 23.04, Lenovo X1 Gen8)

Note: Make sure that the snd_hda_intel.dmic_detect=0 or snd_intel_dspcfg.dsp_driver=1 settings are not set in GRUB_CMDLINE_LINUX_DEFAULT or /etc/modprobe.d/alsa-base.conf. Otherwise the sound output may work but no microphone input.

Related question/answer: https://askubuntu.com/a/1424600/142531