Ex wants in the labor room

So I'm due to have my baby boy (my 3rd child but his 2nd) the 24th and my ex dumped me a few months ago and honestly it was a very hard breakup for me to deal with. My mental health got so bad because of the unnecessary stress that I had to go on antidepressants and my ex half the time just stresses me out when we talk. He said he wants to be in the room and I told him that I didn't want him in there that I needed someone supportive and he said okay well I want to come in and cut the cord then after he's born and I told him I was just gonna let him come in after I had already had him and he's like that's messed up because I won't be able to cut the cord or see my son right after he's born and he said that me saying that broke his heart (really dude!?🙄) he started comparing me to his ex wife and how she let him in the room to cut the cord when they were broke up and I told him well I'm not your ex wife.. Now I don't know what to do.. I'm gonna be in a very vulnerable position and just don't want him to be there for all that.. Just dealing with this mess stresses me out.. I'm actually despising the birth of my own child because I know I'll be having to deal with him and I haven't even seen him since the break up and he's been seriously playing with my emotions since I've been talking to him again.. Should I let him cut the cord? Is it stupid that I don't want him mad at me? I do still love him so all of this is so difficult..