If your boyfriend threatened to cheat on you would you dump him?

Hi all, so I (26F) pushed my boyfriend's buttons today (24M) over something that was admittedly stupid but in the moment it did not seem like it to me of course we were talking about daisy duke shorts and he said he likes them I was saying I can't wait to be back in my best shape soon and wear all the ones I have, I thought he was trying to put me down and say he likes them and can't picture me in them and said "I'm sure i would like you in them" and I can be nitpicky I admit sometimes but that is not the point, the point is, I pushed his buttons because I grilled him over what he said, and one thing led to another and he got on the topic of my ex and how it gave me trust issues and he was like "I've said a lot of nasty shit to you, I don't know why you're still here, I don't know why you're not paranoid of me" and I said "what the heck, SHOULD I be paranoid you're going to cheat on me too?" and he said "I'm about to". literally not even a second later he probably realized how disgusting he made himself look and said "I'm not actually about to I'm just saying that cus Im tired of you I want to get you away from me" whenever he gets mad he breaks up with me for a day or two and then doesn't consider it a breakup and calls me up like nothing happened or says "sorry". I already know he is going to call me later tonight most likely and try to say I didn't mean it. It drives me insane and makes me feel psycho when he acts like he loves me one second then the second he is ticked off, talks to me like this. Would you guys dump him? What do you think about this guy? I already know my jealous comment about the shorts was stupid so spare me, we are all human and make mistakes, but his comment about "I'm about to (cheat on me)" was SO over the top. Also, I am getting the vibe from things he has said that when his family (who is all divorced) is mad at each other they say whatever they want to each other and it's ok to him cus if he is mad when he says it doesn't count.
If your boyfriend threatened to cheat on you would you dump him?
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