Should I run game on a girl that has been the object of TONS of AFCs in a bar?

I'm thinking that no matter what I say, she will interpret it as a PU attempt and just shut down.

Any thoughts?

The thing with PU is that all PUA's are the exception to the rule. You have to approach this target like you're the 10. I mean, what does every other guy do? Comes up, offers to buy her a drink and tries to hit on her openly before she wanders off with the free drink?
Forget that, be smooth and go through the progressions of attraction and seduction. Put her at ease by disqualifying and being playful, build rapport with DHV stories/games, and then step back and decide how you want to close.

Definitely, use negs if she touches you or shows IOI's. If she grabs you say, "whoa, don't touch the merchandise! You owe me a drink for that" And demonstrate how you're the prize, not her.

You gotta calibrate to the girl though: If she's an HB9-10, start talking to her with a neg(like Mystery's "Do you know why you suck?!" or even just flip her the bird like Mystery)[read up on those routines if so]. If she's an HB8-9, then you can either open with a neg or another opener.

Honestly, the better looking a girl is, and the more AFC's that approach her the easier she is to get with because she's never seen anything other than the normal AFC pick up lines... Get out there and be the exception to the rule!!

Whenever I see stuff like that (tons of AFCS hitting on a girl) I might open her with a question like "How many guys have tried to buy you drinks tonight?" You can then neg her either way she answers (a lot or a little). That's actually a variation of one of my usual openers.

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The perfect 5th