Is it OK to have ex husband in the delivery room?

The ex and I are civil for our current children. We do not fight in front of them what ask ever. I'm just not sure if I want him there with the baby while delivering. Like we are no longer together. I feel like this is something you do when you are a family. Not ex's. I understand it's his child and he should have that right but I don't want him there when I'm going through all of that pain. It's our third child together and we currently have 2 girls and this is our first boy. So he feels entitled to be there and cut the umbilical cord. I feel like if you cared so much you should have done that through out. Not just the delivery part. Opinions of recommendations are welcomed.

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