I want my ex to take my daughter's bedroom door away
That feels unnecessary. Is your daughter acting out?
Yeah, she's always crying and trying to escape her crib.
I feel like removing her door will not solve the issue as she maybe really afraid of you to come out of her room and treating it as her escape from you. Removing the door will only make her feel suffocated by you and instead of doing that, I recommend you speak with her calmly to see what is going on and see if you can help her.
I will still ask my ex to remove her door for me.
Ultimately, it's a parenting decision that you only can decide, but I am strongly not recommending that you do so. Your daughter will only get more distant towards you and may see this as a controlling behavior and she may resent you for it. Talk with a psychiatrist with her if you can't deal with it on your own.