Ex in delivery room

So my bf recently broke up with me and I told him I would let him know when our son is born and he's like no I will be at the hospital. I told him they won't let him in the room if I don't want him there. He's stressed me out this whole pregnancy and honestly this breakup is a relief for me and I don't want him stressing me out while I'm giving birth. I have 2 other children so I know how stressful labor can already be. Am I being unreasonable? This is not his first child.