boyfriends baby mum... laaaadies please!!

Hei ladies. I need to hear some othe ladies opinions as i dnt have anyone to talk to about around me, basically ive been with my boyfriend for about 10 months now and when i met him someone he was seeing got pregnant not long before i met him. All those 9 months she was pregnant i was with him, as i knew they had nothing else between them. In November she gave birth and he was there ( it was sooo hard for me but as a women i know thats the right thing to do), however the baby is a beautiful Little girl, but for some reason her mum decided that my boyfriend wouldn't be in the birth certificate he is upset about it, he tried and tried to change her mind but she ddnt, but ahe still wants him to play the father role, however he said he wont be part of it because she was selfish by not putting him on the bc, according to her is just a piece of paper 😣Even knowing its not my business it hurts me, not for them but for the little girl i mean i dont think is fair for her to grow up without a dad because of their stupid actions, its not her fault. I really wanted to talk to the mother and make sure she knows the impact that will have on her girls life later on. I really wanted my boyfriend to be part of the little girls life, i know hes hurt inside and it actually hurts me that the inoccent baby is in the middle of something so stupid, even if they hate eachother they should at least try to be good parents together:(