So I train at this BJJ gym and have this sort of "friend group" consisting of me, this girl, and another guy. We ride back and forth from training together and also hang out frequently on the weekends. Anyways, I asked her out last week and got friendzoned. I reassured her that we would be friends and things would go back to normal, and they have for the most part. Now normally I would cut her off and ignore her if I ever see her but the thing is that the guy in the friend group gives us rides, so I can't exactly ignore her. I've been a little cold and distant to her ever since, but I dont know if this is the right move. How should I conduct myself around her?

Also she invited me and the guy friend to go bar hopping with her and one of her friends, I'm trying to decide if going would be the best move. I can probably use her and her friend as social proof to pick up some girls, but at the same time, I don't want to give her free attention after getting friendzoned.