From what know, which is admittedly not much, GOS cannot recommend the Tor browser in general due to the Gecko engine's security shortcomings.
Their usage guide says Tor is kinda the only way to even get close to true anonymity online, but even then, that's really, really shaky.
You can certainly try to get their web installer working on Tor, but I doubt it will.
I had to use Brave, it wouldn't even work on Edge in my specific case.
You might be able to use a recommended browser for installing GOS and route traffic through the Tor network. I think I saw a Tor or Onion-related button on Brave on my laptop the other day, so maybe Brave has some Tor integration?
I know literally nothing about the other main installation methods, tho.