If girlfriend keeps nagging me about housework although I feel that I am doing enough while paying most bills, should I eventually break up with her?

She is a good girl overall and the relationship works well, except when it comes to housework. She always keeps pestering me although I do housework every Saturday and Sunday and sometimes even on work days (vacuum cleaning the whole house, wiping all the dust myself, washing dishes). I have two jobs and I pay most of the bills. She says that I was the one who wanted to do that. When we go out I am paying, when we get groceries I am paying, when I come back from work I buy groceries because she asks me, I pick her up. And after I do housework equally with her each weekend and I tell her I do not have enough time on weekends for my second (remote) job, she keeps saying that I should not spend time on exercising and my friends. We split the chores but she gets upset when I say that I would leave something for the next day. She often procrastinates her established chores and then she does something else instead, like cleaning dishes, and then she complains about being too tired to do anything else. When I tell her that she is nagging me and we argue, she sometimes doesn’t finish her chores and says that it’s my fault because I upset her and she doesn’t want to do anything else. She complains that I do not have time for cooking, but she never cooks either.

If girlfriend keeps nagging me about housework although I feel that I am doing enough while paying most bills, should I eventually break up with her?
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