I bought a lot of games on GOG in hopes of getting their DRM free version and have it available. I didn't save them, now I really have no idea how to download a DRM free version of games, that previously had DRM free version but no longer seem to have it.

All of GOG's games are DRM-free.
If you're talking about the DRM-free installers, you have to go to your games library (using the browser - not Galaxy) and download the games installers.
See attached picture as an example.

Okay, I know this screen, but I can no longer locate it. When I click "Games" I get to my list of my games, without any way to get to this screen at all.

You have to click on one of the games icons.

Well, to access a game's installers you kinda have to click on the game in question.

I attached a screenshot, there is no way to click those games, except to go to a store page

All games sold here are DRM-free (some are slightly debatable, though), and you can download them by going to your account, clicking on a game, and then downloading the files from the section entitled “Download offline backup game installers”.
However if you wish to download all of your games at the same time, I recommend you use gogrepo.py to do so.

It is not possible to click on any of those games, nothing happens

There's no screenshot attached. I suspect you can't attach pictures because your rep is too low. Are you using your browser or are you using Galaxy?

browser

Thanks. I hadn't seen it. Guess you were right. He was browsing his profile instead of his library.

Well, thanks, I feel stupid now, but when I think about it, now I even found it, but I feel that it's unintuitive, that the dropdown in which library is, is under a button, that goes to your profile, where also the "games" are.

Yeah, I know. If you don't use your profile, you can disable it in the relevant settings page; then clicking on your account name will take you to your library in the future.