Same middle name?

So, my best friend and I were pregnant together. She had her baby two days ago. Her middle name is Mae. She is just precious. 😍
I have always wanted to be a mom so I've had names chosen for a long time. She knew Mei (pronounced Mae) was on my list before we got pregnant. She chose Mae because it was her boyfriends grandmas name. ❤
Anyway, our little girl is not due until the end of May. We planned on naming her Athena Mei. I even asked her if it was okay that I still use it. She said it was definitely okay. (It's a middle name). Do you think it is okay for me to use that middle name when my good friend used it for her daughter?