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My question is: what am i supposed to do for the next month with her? Do I text her and call her regularly, do i wait for her to call? How do i not come off as needy and stuff, please refer me to links and articles and any advice is appreciated.
Waiting 5 weeks for a first date is needy whichever way you go about it. If you had other options, would you wait for this one? You'd probably entertain the thought, because why not, but you'd keep yourself otherwise busy during that time.
So get other options. Talking to her every 2-3 days is fine as long as you're doing it passively and not actively pursuing her as your 'main target'.
Also, if you wanna read The Game, fine, read it, but if you want to read something that will actually help you out read Models by Mark Manson. Or get his audiobook, he reads it himself.