[HOW TO] Update kernel on ZorinOS for better drivers support - Updated

Yes, the O.P. lists an example kernel version.
It also only includes the Focal repository that Zorin OS 16 would use.
Zorin OS 17 would use

sudo add-apt-repository ppa:tuxinvader/jammy-mainline

You must remove the previous repo:

sudo add-apt-repository --remove ppa:tuxinvader/lts-mainline

Update grub:

sudo update-grub

You also can use a different method to install other than TuxInvader (Which I Like the TuxInvader, but be warned, they are often unsigned kernels).

sudo add-apt-repository ppa:cappelikan/ppa

sudo apt update && sudo apt install mainline -y

Run the Mainline app to select a kernel.

*I may edit the O.P. to update it to current....
EDIT - Edited the O.P. to update it.

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