I hate emo people. Be a man and tell her that you don't like it. If she insists on continuing to get attention, tell her that you have better things to do than babysit and tell her to call you when she grows up. Walk out the door. You don't have to break up with her, at least unless she overreacts (like most women will at that point when they realize they aren't in control of their boyfriend)
In any case, if she's serious about keeping you, she'll realize she's being a moron and try to cut the crap. If not, there are plenty of women who are far more mature and will actually try to treat you right instead of control you. As you said, you're 13. Relationships at that age are about as worthwhile as ripping your own teeth out with a pair of pliers. Focus on school, yourself, fun, and your family. Those are the only things that really matter at that point in life.