I don't see that she did anything wrong.

Your relationship with her is undefined. She is perfectly entitled to give her number to other people and/or make friends. She is also allowed to change her mind re wanting to have another friend.

As you said, and I agree with you, you acted in a passive-aggressive - even childish - manner and worse went to a bar saying you might speak to another female?! Which led to an argument.

The mature thing to do would be to have had a frank discussion with her & clarify your (i.e. you and hers) relationship - rather than being angry and playing these games with her. Otherwise, she can do whatever she wants with whomever she wants. Being upset about it in these circumstances really, is on you. Not her.