@Tryst,
Well, two scenarios here:
- The girl is shit testing you using this guy as a pawn.
- The girl is legitimately more into him / not that into you.
In Scenario #1, it depends how hard she’s testing you and what the reason is. For instance, girls who are flirts may engage with a guy for a few minutes just to see if you get jealous or clingy or start pouting. If you sense a girl is doing this, you just chill out, let them talk, and act like you’re bored, unless it goes on too long. Generally girls who are doing this will try to engage both of you (that is the ‘tell’).
You can also have harder tests, where the girl is closer to auto-rejection, like if you took too long to pull her (i.e., missed escalation windows / moving too slow) or went a little too crazy with your jealousy plot lines. Girls doing this will usually avoid interacting with you or actually back turn you, while acting too excited about what the guy is saying relative to how good he actually is. (from the guy’s perspective, he feels like, “Wow, I can’t believe how well this girl is reacting!” — but the purpose is to test you hard)
You know it is this one if the girl was into you and has been talking to you for a long time, but it’s sort of stalled out and ALL OF A SUDDEN she is ignoring you to drool over this new interloper. If it seems out-of-character for her, it is probably a shit test / she is pissed off at you for some reason (some low attainability move you made).
Harder tests you can try engaging the guy to get him focused on you, just in normal chill conversation. Most guys will have trouble ignoring you, since most guys default to “man = leader” when regarding man-woman pairs. Players may ignore you though. If you suck the guy away, and the girl is hard-testing, she may attract / open ANOTHER guy while you are dealing with the first. Then you have to roll off Guy #1 and handle Guy #2… then #3… etc. Thus the best solution for this (whether dealing with normal guys or players) is chatting up another GIRL yourself, ideally without leaving the first girl’s side. Once you notice Girl #1 staring at you instead of ignoring you, it’s time to smoothly reengage with her (then pull her ASAP before she does it again!).
In Scenario #2, you’re screwed if his game is on-par with yours or better.
If it isn’t, you can just wait for him to screw up with her, at which point she will turn her attention back to you and most guys will eject. Most guys cannot run perfect game for 10+ minutes straight… it’s like 1 in 3,000 guys who are able to do that. If you run into the rare dude capable of it, your best bet again is preselection.
However, if she is genuinely much more into him, and he has at-your-level of game or better, and he is not screwing up, then the only way preselection is going to work is if the other girl is much HOTTER than the first girl and is very OBVIOUSLY into you. A relaxed chat with a cutie isn’t going to cut it if the first girl is really into him. She will just view it as a “cute attempt” by you, but she knows your game is lower level than this guy’s and that the girl is less hot than she is, so… “have fun with your new cutie, honey, while I have fun with mine!”
You’re in the most danger of another guy actually stealing your girl away early on in the pickup, before the girl is committed to the interaction with you. Mystery had something he called the 3-Minute Rule to get around this — the rule just says you should not make any approach where you think you might be interrupted within the first 3 minutes.
Use the 3-minute rule before you approach a girl. If someone will disrupt you or pull her away in the first 3 minutes of conversation, don't approach her (yet). A little while back, we covered the 3-second rule. The 3-second rule is a tactic you can use to get yourself to approach women before...
www.girlschase.com
If it is happening to you a lot early on (e.g., inside 3 minutes or so), you need to strategize your approaches better so you are not entering situations you leave yourself vulnerable to being poached from.
If it is happening to a guy later than that, and it is happening often enough to be a problem, he is probably missing something that is obvious to other men — missing escalation windows and sending girls into auto-rejection, or missing rejection signals (prompting other men to come in and “save her” from him), etc.
Unfortunately there is no magic pill for a Scenario #2 “win an AMOG battle when the guy has equal or better game to you AND the girl likes him more.” The magic pill is called “improve your game & fundamentals so guys you encounter don’t have equal or better game than you and also girls like YOU better.”
Also, about your dialogue example with the player type:
If the guy is genuinely cool and nice (has game), has ignored your bait:
Him: Well, who lies more-
YOU: Gallup or Rasmussen?
Him: [Ignoring you. addressing girl directly] Men, or women?
YOU: You're gonna buy her a drink if she answers this?
Him: If you shush so she can answer I might buy you one!

(or if the girl just answers the question, he can totally ignore your drink attack)
You need sharper verbal game than this to win against typical player types.
Should be:
HIM: Well you see, my buddies and I were all discussing who lies more, men or women, and we thought we really need to get a woman to weigh in.
YOU: [WAIT FOR HIM TO FINISH; DO NOT CUT HIM OFF] What's this for, man? Do you work for Gallup or Rasmussen?
HIM: [IGNORING YOU, ADDRESSING GIRL DIRECTLY] So what do you think, is it men or women?
YOU: [IGNORING HIM, ADDRESSING GIRL DIRECTLY] This guy's really serious about finding out the bigger liar, isn't he?
HER: [LAUGHS AT YOUR JOKE AT HIS EXPENSE, THEN ANSWERS HIS QUESTION FOR HIM] Ummm, women?
HIM: See that's what my friend said. But what I said was while I think men tell MORE lies, their lies are little lies, like "No, those pants don't make your ass look fat!"
YOU: [TALKING TO GIRL] He's going to tell you women tell bigger lies like "It's your baby!"
HIM: Hey man, do you mind? We're trying to have a conversation!
YOU: Oh I'm sorry. Please, continue!
Then just continue your running commentary on his game to the girl and piss him off even more.
Better game (than the example you posted with the player guy) is a.) NOT cutting him off before he has a chance to say a long piece (you want him to expend more energy, so he is more invested in what he is saying, THEN hijack the conversation by asking him what it is for), then b.) NOT staying focused on trying to talk to him IF he ignores you and does not take the bait. Instead, if he is going to pretend you ARE NOT THERE and focus entirely on the girl, you are free to treat him
as if HE is not there and just say whatever you want about him to the girl.
(your goal here is to provoke the guy and make him look uncool)
Personally, I love these retarded-tier "I'm too cool to talk to other men" playboy wannabes who try talking to a girl I am with while ignoring me. Within half a minute I will be telling girls the most ridiculous things about them within earshot of the guy: "Watch out, this guy spits when he talks. I just got hit by like 3 drops." So long as he is focused on trying to run his game to the girl and you can just sit there and troll him, you can just make the girl laugh her ass off at this guy while he can't do anything about it because he is stuck running his "too cool to talk to men" program. Eventually he will have to address you directly, at which point he is generally going to be all flustered and easy prey for you to knock down.
Again though, this all comes back to game level. Your game needs to be good enough to know, for instance, "When a guy ignores me I shouldn't keep trying to talk to him and tool him because that is making me look worse." You need to have superior strategies.
Hope that helps!
Chase