The thread offers One Method of installing a higher Mainline kernel than what is vetted by the distro.
On Zorin OS, you also have many options, too.
I believe I wrote a tutorial on the forum that is similar to the method in the Mint Thread. Yep, found it:
Another method would be to use the TuxInvader repository and install the patched kernel:
sudo add-apt-repository ppa:tuxinvader/lts-mainline
sudo apt update && sudo apt install -y linux-generic-5.19
And another method still: The Liqourix kernel:
sudo add-apt-repository ppa:damentz/liquorix -y
sudo apt update && sudo apt install linux-image-liquorix-amd64 linux-headers-liquorix-amd64
Each of the methods above can help you to achieve the goal: Getting a higher linux kernel onto your build of Zorin OS than what is currently tested stable and vetted by Zorin.
Which means... It comes with risks.
It may solve your sound issue.
It may include regressions or instabilities present in a later kernel, which is why Zorin OS has not currently vetted it.
When using a higher kernel, always stay at-the-ready to reverse it by reverting back to the earlier working kernel and Back Up Personal Data first.