Do I break up with him?

We recently moved in with each other, and I’ve never been more stressed in my life. To set the scene, I work full time and go to school part time. He works “full time” he goes to work a couple days a week but he only works around three or four hours of the day, not manual labor or anything like that. For the past few days he’s been home with nothing to do but sleep and play video games because of the virus slowing down business. For the third day in the row I come home from working to a sink full of dishes, three garbage bags full of clothes dirty, and all the floors covered in dirt. There’s ants everywhere from the dishes sitting in there. I can’t even sit down for a second, the only time I really sit down during the day is to eat dinner and then shower and go to bed. I don’t get to watch tv and play video games, even though that takes up a majority of his whole day. I’d understand if he didn’t know he was doing this but I’ve talked about it with him multiple times about things have to change. He’s done the dishes three times this month and expects to do more, like that’s his share. I’m so stressed out and annoyed I can barely be in the same room as him. We’ve been together for two years and I don’t think he’s capable of change. I have nowhere to go but my parents house where I was equally unhappy, and they don’t have room for me. I feel like I’m so stuck. I need help and I don’t got money for a therapist 😩