inxi data for the Audio device is showing a Chip ID: 8086:02c8 and should also be showing the name of this device as Comet Lake PCH so audio device may not be detected correctly
but system is trying to use the driver sof-audio-pci so sof-firmware package is installed and recognised
on Mint 20 it works
Mint 20 has a later version of PulseAudio (v13.99)
they are following Ubuntu 20.04 and using the development version of PulseAudio
Manjaro stable branch is still using the official release version of PulseAudio (v13.0) which does not have recent patches added for sof-firmware
PulseAudio v14 was expected to be released months ago but developers still have some problems to resolve - 14.0 · Milestones · PulseAudio / pulseaudio · GitLab
Manjaro team may not release the development to stable branch because it may cause problems for some users, but if your system was working on Mint it should also work on Manjaro if the later
version of PulseAudio is added
I suggest you switch to Testing branch to get the similar PulseAudio version as Mint
sudo pacman-mirrors --api --set-branch testing
and then refresh-mirrors and get updates
sudo pacman-mirrors --fasttrack 5 && sudo pacman -Syyu
then reboot system