Mil wants to choose baby’s name..

Ok so I named my first daughter and I stuck with the name that stuck with me. She’s my child so I named her what I wanted to. They acted like it was a problem and I didn’t care.. well it’s baby number two and she asks “do you have a name yet” I told her no and she said ok well her name is Brooklyn that’s what me and my mother came up with. I actually like the name but I have another name in mind.. they wanted to name her the first time but she made a slick comment saying “we should have named the first one” I don’t want to name her Brooklyn bc I have a name that I want now. She’s going to be pissed because she’s been calling the baby Brooklyn this whole time. Her mother chose the name and frankly idc bc I don’t think she likes me anyway she gives me this vibe like I’ll talk to her but I’ll be sarcastic.. I’m thinking about telling everyone her name when I leave the hospital and just naming her what I want to avoid the drama for rn. What would you do? I just don’t want any tension.. we already had a bad falling out a few months back.

Update: dad doesn’t want to name her that either, he wants something else and I told him well tell her and he goes “why bc you can’t face her enough to tell her you don’t want that name” i mean yes and no bc I just hate the tension