not sure if its already been asked, but lets say you spot your target, and start going up to open her, when another guy jumps in and opens her

is their anyway to jump in to and get the groups attention focused on you rather then him?
or is it even possible to do?

Call him out
Say something like

"Hey wait hold on dude, alright you're trying to pick up this girl, I want to hear your best pick up line, I mean this is a beautiful girl you better bring your A-Game"

Or do like Hitch did

How about "hey dude was watching you build up your courage to approach,was just about to help you out" [which was the reason you were walking towards target]
Then whatever the other guy says listen then say to target "Help him out,I've made him all self conscious now....whoops" walk away then but not to far,so you can see target but the AMOG interloper can't see you then make occasional "knowing" eye contact with the target.
This works in three ways:

1 You drop the value off the interloper in the targets eyes and by making him
selfconscious make it worse.

2 You gain increased rapport with the target by creating your own little "in group".

3 When someone you are interacting with constantly looks over your shoulder it triggers a hard wired "danger" approaching signal at a subconscious level,the guy will feel even more uncomfortable and the target will pick up on it.

Wait for a weak comment.

Then you just appear and show yourself cooler.

This guy's headed in the right direction but I wouldn't necessarily wait. Open, acknowledge the rest of the set (in this case, the AMOG), and just run your game as if its any other 2-set

When teasing or negging the girl, I'd refer to her as "you're girl" when speaking to the AMOG and if she perceives your value higher than his, she might start qualify herself to you and say she isn't his girl.

Now, needless to say, he could get pissed off because you're interrupting his game and tell you to get lost. Stay cool, keep smiling. What I would do, is jokingly "hand" the girl to him and say "Here buddy, I can't handle her anyway *big smile*" or something along those lines. (I tried this once and got some good results, but I'm just going on what I read in The Game when Tyler Durden talks about AMOGing) If the girl wants to stay with him, just let it roll off your shoulder and move on to the next set.

If you're game's real tight, or you're lucky, the guy will just feel shut out and leave you and the girl entirely.

Hope this helps!

_________________
Experience is what you get when you don't get what you want.