Should I date my ex’s friend?? 😭

Okay, so I left my children’s father a year & 4 months ago. He’s very inconsistent in our children’s lives, doesn’t ask about them, hasn’t seen them in 4 months & pays no child support. I recently had to block him because of harassing text messages he kept sending me. I recently started talking to a man I met on POF about 3 weeks ago. He’s funny, nice, handsome & super charming. I really like him & I haven’t felt this way in a longgggg time. I’m definitely ready to be in a relationship BUT after meeting this guy & we were really vibing well, I found out he’s actually friends with my ex 😩 my ex never showed him pics of me & he doesn’t call me by my real name, so the guy had no idea I used to date him. When I told the guy that he was my ex, he told me that he only met him a couple months ago, & they only hang out at the bar. He hasn’t seen him in about a month and a half tho. I realllly like this guy & I wanna take it to the next level with him, & I really wanna be happy, which is what he makes me, its just idk if I wanna deal with the unnecessary drama. On one hand, I don’t want my ex to think I purposely went out of my way to hook up with one of his friends, but on the other hand I don’t really give a shit what he thinks since he’s a dead beat & treated me like shit when we were together. What would you ladies do if you were in my situation?? Any advice for me??