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Well, for starters, don't let his presence bother you. Maintain eye contact with the girl. You dont have to be rude to the guy, unless of course he starts giving you shit, but dont pay much attention to him at the same time. Be the alpha, and don't try and prove yourself to him. If her attention completely shifts to him and you feel like you're getting blocked out, just say, "Alright well I'll leave you two to chat" and then turn to leave. If she really likes you, she'll leave the other guy. If you really wanna fuck things up for the guy, you can say something like, "Wow, you know what I just realized? The both of you look like the perfect couple. Its like I'm watching birds of paradise court each other on discovery..."
The guy will probably step in to defend himself verbally and deny any of what you just said. After that just laugh and like, "Alright well I'm gonna leave you lovebirds to it. I'll see ya around." Then go sarge another set or something. Later on, you can approach her again an ask her how it went.
Spoiler Alert: It won't have gone anywhere. From there, pickup where you left off.
Nice! it won't always work that way, but It's better than just standing around the two while they talk.