Installation complete. Removing splash didn't work, I only get this:
What hardware are you using?
Also, I get this error before GRUB loads:
That concerns me... To be honest, that looks like corrupted files in Root. That file should be Present.
This unfortunately also didn't work (resolution will be still 1024x768), I used it with nomodeset together:
nano /etc/default/grub
GRUB_GFXMODE=2560x1440x60
GRUB_GFXPAYLOAD_LINUX=keep
update-grub
For me it looks that Alder Lake GPUs are not really compatible with Linux 
About the missing file error message: Could it be because the partition is encrypted? GRUB though didn't complain about, so I wonder how that could be a problem. The file should be stored on the /boot partition, or not?
The file checks in the installation all passed, no errors.
According to Intel Alder Lake Ubuntu 22.04 LTS OS Users Should Consider a Kernel Update | Tom's Hardware, a 5.16 or better kernel begins to provide support for Alder Lake Processors. This would be an instance of using the Ubuntu mainline repository because of hardware, which is a necessity. You can install Zorin, press shift to enter advanced and select terminal with networking. Then you can add the repository and install a newer kernel. Once done, reboot to the newer kernel.
While you can install the firmware alone, this is an easier route.
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Interesting! Can I install the newer kernel also if already installed or would you recommend a new installation? Which repository would I be required to add?
I'll find you the link to the guide. You can use what you have installed.
Recommendation: READ THROUGH THE ENTIRE PROCESS PRIOR TO IMPLEMENTING. You won't have to add the jammy repo if you aren't going to a 6+ kernel.
Try only a few versions above the current kernel first....5.16, 5.17, 5.18, prior to trying 6+.
Thank you, I'll try that 
Does it make more sense to start from reverse, so 5.19, 5.18, ... instead of 5.16, 5.17 ... ?
I understand your idea, the point is to go only as high as you need for the support of your hardware. The further away from the current kernel, the better chance that certain configuration files from the Zorin devs won't be in use and you lose the benefits, possibly even break your system.
While newer can be better, more bugs may have been introduced, parts of the system may be broken, some improvements may be introduced, but the opposite is also possible.
I see, makes sense. I now tried 5.16 but it seems it wants libssl3 and libc6 >= 2.34.
Then add the library from jammy, but do not update and upgrade while that library is in your source list. Only install that library.
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EDIT: Wait, seems I need to remove the (unsuccessful?) installed kernel 5.16 first.
It seems the tutorial doesn't work any more. Installing libssl3 fails with following error:
root@office:~# apt install libssl3
Reading package lists... Done
Building dependency tree
Reading state information... Done
You might want to run 'apt --fix-broken install' to correct these.
The following packages have unmet dependencies:
libssl3 : Depends: libc6 (>= 2.34) but 2.31-0ubuntu9.9 is to be installed
linux-headers-5.16.20-051620-generic : Depends: libc6 (>= 2.34) but 2.31-0ubuntu9.9 is to be installed
Then use the command sudo apt install libc6 libssl3
Whatever you do, do not upgrade gnome... at all. The libraries should not be an issue at all... mainly gnome. Gtk libraries could be an issue.
Alright! Installation of 5.16 was successful. However, booting only possible with nomodeset. I think I should also test 5.17 so.
I would. Once you get somewhere (5.17 or 5.18) i would fine tune within that version (5.17.0.40 i.e.)
Unbelievable. With 5.17 not only it worked immediately, booting is even faster. I immediately received 4K resolution and both screens were detected.
Shall I now remove the repo for the mainline installer? Will Zorin OS ask me for upgrading Gnome in future? Because you said it should not be upgraded.
Thank you so much!
Remove the "jammy" repo prior to any updates. Once that is done, if you see an update for a kernel lower than yours, do not upgrade... you will have to mark the current kernel for hold, only if that occurs.
What version of 17? You can get it with uname -r
I hope all will run stable, no freezes or so. Thank you very much 
I used the latest version of 5.17:
5.17.15-051715-generic
I would stay within that version, upgrade through .15+ if a few things aren't working (hwe and such) if you need. 5.18 possibly if you can't wait for the next subversion.
You removed the jammy repo? This is important!
sudo add-apt-repository remove "deb http://ca.archive.ubuntu.com/ubuntu jammy main" i believe.
Yes, I'll keep that! The jammy repo I immediately removed after installing libssl3
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