Should I stop talking to a guy if he has a toxic ex?

I’ve been talking to this guy for like a month and we went out on a date. And I had a really good time but then at night his ex girlfriend made an account and wrote my name in the bio saying that this boy I went on a date with cheated on her and that I knew and followed me at like 3 am. I was texting the account and was asking her to remove my name and that he told me that they broke up. ( which they did ) but I think he might have been texting me before that and then broke up with her. He told me that they had a very toxic relationship and that he would try and break up with her and she wouldn’t let and a bunch of other stuff anyways I spoke to her and said I’m sorry about her relationship ending and the way things went but I don’t want to be involved and keep me out of it. ALL THIS AFTER THE FIRST DATE. So I don't know if I should keep talking to him and seeing him because of all this and I don’t think I want a relationship with him but I don’t really wanna stop talking to him but I don’t wanna put myself in a bad weird situation either. I mean I don’t think he was perfect and either was she but I don’t know if this should be the point were we stop talking.
Should I stop talking to a guy if he has a toxic ex?
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