I may not be qualified to answer this because I suck with relationships, but I will give my 2c anyways, because why not.

Your girlfriend seems to be the selfish one here. I mean, you're the one that seems to be paying for most of the expenses AND you work more hours than her so she should be the one doing the cleaning; not because she's female but because you are clearly the one contributing the most to your household.

Personally, if it were me, I would be out the door. Then again, that's why I don't do well with relationships; I have a low tolerance for people's BS.

EDIT: didn't realize you found a solution. I'm too tired for PC lol. Still though, as a gamer myself, I wouldn't give up my games for anyone but I hope it goes well for you.