Do not FB stalk her at this point. You're right, you missed the perfect opp to # close her when she said "we will have to play tennis sometime". O well. Lay back brother. If you hit her up on fb she will probably run.
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should I play it cool and wait for my friend to set something up or to be invited by them to an event that she's at too
YES. OR, covertly have your guy friend set up a sitch where you and her will be in the same place. You said he's back on the weekends. Plenty of opps there to link up with her. Stay in the background until then. You hitting her up on FB will look way too fucking hungry. And when you meet up with her, play it like you have plenty of options even if you don't, in a non arrogant manner.