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However I feel kind of a lingering anger towards the girl who was completely immature. I also feel like I could have handled the situation better.
Any ideas on how to handle that sort of situation?
Why anger? Try to get rid of that.
That girl was probably just annoyed that she wasn't getting as much attention as she was used to. That was her way of giving IOIs when you weren't paying attention. You could have tried a kino holding pattern (I don't know what to call it but I do it) and put your arm around her, or thumb wrestled without focus or purpose, played with her fingers, whatever can keep a little physical focus on her, all without losing total mental focus on the target. Your target will be impressed by your social intelligence, your ability to easily escalate with her attractive friend but most importantly your focus on her. Be flattered by the IOIs but make it clear that she can't stop you from having a good conversation and she won't earn your attention with immaturity.