Hello everyone,

I have a lot of downtime at work and I would like to play games.
Is it ok if I have GOG Galaxy installed on my home computer and my work computer at the same time?
I don't want the offline installer, because I want to use the same save files both at home and at work.
I bought the games legally and I would be the only one playing them.

Yes.

Thank you. All information I found about this was, that it's ok, as long as the computers are in the same household.
My situation is a little bit different and I don't want to be banned.
Thank you, again

I wouldn't install any gaming client to a work computer, at least if you are not self-employed.

I used to have a Steam and Epic Games Store client installed on my work computer because why not, but at some point our security expert started asking whose computer is constantly polling other PCs in the network? Then he found out through some company antivirus (which shows which applications are installed on each PC) that I had had it and Steam installed, even after I had already uninstalled them myself when I started suspecting they were the culprit.

I think the culprit turned out to be the Epic client, even though I had told both it and Steam NOT to start on Windows reboot, but start only if I manually start them. Regardless of that, Epic client was apparently working in the background, constantly scanning the network and other PCs in it. Not sure if Steam and Galaxy do the same.

After that I decided that I only install work related stuff on my work Windows installation, which is what I am supposed to do anyway. I didn't give up completely though, I just installed another instance of Windows beside so I have dualboot with Windows 11 (work; Bitlocker encrypted) and Windows 10 (my own stuff, including games; not encrypted because somehow Windows becomes confused if two separate Windows both have Bitlocker enabled, separately).

Yeah I guess I really shouldn't do this either, but just need to remember never to boot to my personal Windows 10 at work. The Windows 10 partition is disabled/hidden in the Windows 11 settings, while the Windows 10 can't read the Windows 11 partition at all (as it is encrypted).

I used to have Rocky Linux 9 instead of the Windows 10, and it was LUKS encrypted. It worked well otherwise but sometimes Rocky had some odd issues on this laptop so I ditched it and replaced it with Windows 10.

The short answer as above was yes, the longer answer is still yes. The key principle to bear in mind is this: "Your account and games are for your personal use only". The article/information that you found also states the following: "The same principle applies to movies - you're free to watch them anywhere you want, with anyone you want, as long as you don't share them with people who haven't purchased them." The reason why, I presume, it states household specifically is because you have control over those machines. If your work machine is for your personal use only, and is not accessed by other employees, then it's within reason for it to be okay.
Lastly, GOG cannot ban you for installing the offline installers onto your work machine - they are offline by nature. GOG is placing a burden of trust on you, the customer, to act responsibly. So, "please don't do it, okay?"