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For the record I still don't see this playing out well. But regardless of that on a strictly friend level, this is not a girl I could be friends with. You do her a solid and you gotta chase her for her end of the bargain.
This situation is the difference between pickup and seduction. Most of the time guys will say next these types of women, because it requires effort. She is an acquaintance and the OP is armed with all sorts of information about her which allows him the opportunity to get inside of her head. Her, on the other hand, believes that she is immune to the OP's attempts at seduction. This type of woman and what the OP knows makes her a solid candidate for seduction.
OP is requiring that she lives up to his word. The best thing he can do is allow for her to buy him a meal, Have her talk about her goals and him share any insights while sprinkling in some compliments and vague flirtation while quickly turning the conversation back to business. Once he's nearly done with the meal he can let her know that he doesn't have a lot of time because he has plans for later. Thank her, say he enjoyed himself and say that they should do it again someday. Send her a text the next day thanking her and not texting anything after that.
The point is that he can be charming and in control without directly indicating attraction. More the point, treating the attraction like it's unimportant to him. Because it's an acquaintance that is not necessarily finding him attractive at this current moment it's more like chess and less like checkers.