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If she brings it up as some kind of LMR, say you have a GF.. you heard me right!.. It'll work because she doesn't feel so bad cheating if you are cheating also.
Have you field tested this as an LMR strategy? Because it sounds terrible to me. You want to frame sex as not a big deal, casual, you're not into any kind of serious relationship, and that since she's a fun, outgoing girl who doesn't care about the "rules" of "society" (hopefully all part of your qualification and framing before) she'll want to do it too, and have no regrets.
If you say you have a gf too, suddenly she's not only feeling bad about cheating on her bf, but now she's possibly causing you to mess up your relationship with your gf. Now you've just given her a double serving of guilt and flipped it from you being in control, leading the interaction, and being the one who's responsible, to make her feel like SHE's responsible and making a REALLY BIG DECISION. Game over in my opinion.
In answer to the original post, mentioning the bf like this is just a simple shit test. She gave you her number so it obviously somewhat interested. Don't ever bring it up, get the day 2, build attraction, escalate, and if she mentions him again just change the subject and keep moving forward.