Can’t agree on baby name

So I’m not in a relationship any longer with my baby’s Dad yet have agreed to coparent.He thinks it’s best if the baby takes my last name.For the first name however,he is very inflexible and basically threw an adult tantrum when I told him that the two names he likes,I’m not a fan of.I suggested we try and find something we both like and basically received the attitude that he figures since the baby is a boy,in his mind the father should choose the name.He didn’t speak to me for days after our name disagreement a few months ago,so I haven’t brought the subject back up.Am I being too stubborn not just agreeing to let him pick the name?He’s came to a few of my appointment and texts me often(usually irrelevant things where as I talk to him only about baby things)otherwise support wise and financially I’ve been on my own with the pregnancy.Argument wise he’s very immature and feels like he’s used to just getting his way.The only other time he’s flipped out is when the issue of child support came up and he told me that if I asked for the table amount(based upon his income)he would be the child’s uncle and only see him during the holidays as in his words,”I would be paid to be a full time Mom.”🤦🏼‍♀️Sorry for the vent but curious if a boys name should be the fathers choice as he seems to believe it should be.