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It's a little early to tell because your GPA can rise or decline dramatically when you reach junior and senior years because of AP.
You are definitely on the right track, but since you have time i would retake the 2200 if you're really looking at princeton.
UMich - Safety
JHU - Match - extremely slight reach
Chicago - Match - extremely slight reach
Princeton - you have a good of a chance as anyone would. you have great volunteering/working experience and your grades have the potential of being great. your SATIIs are really good. I do believe you are lacking in clubs but your ECs overall are fantastic.
you already have some safeties and i would recommend applying also to Cornell as a possible safety. Why don't you look at MIT; you are very science/math focused and you could use more reaches like Princeton and MIT
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