OP you're 36, if they want to throw you out over playing a computer game then bloody let them, that is utterly pathetic
And if your friend since childhood throw you out because some random woman he's known a year wants you out then he is no friend at all
Seriously 33 years old and living out of wedlock with two men...sh shouldn't be going on about sin not mentioned in the bible when that sort of stuff is emphatically covered adnauseum in the bible!
I mean seriously you are a grown ass man, stand up for yourself and tell her that if she really doesn't want games in the communal room fine, but NEVER be so rude as to cast aspersions on your character because she has a personal hang up over it....
seriously move out, or have intervention with his family at their home, surely you can manage a safety in numbers approach to confront him