What is the best way to install this game on linux? Below, there are some threads on this topic. But all of them are several years old. I wonder if there are better ways nowadays (maybe lutris?). Or is the game already too old for people to bother?

Presumably you're asking which Wine based methodology works best?

Yes.

As there were no suggestions, I tried the script written by adamhm.

The script gave an error but I was able to solve it, thanks to the recent post (in the same thread) by teczowy_jan.

It seems that everything works now.

Lutris works fine, the only experimentation to do is which wine/proton version works best for you personally.