I think you should take some of the energy you are spending here discussing your desire to go to Princeton and use it to search for schools where you are likely to be admitted. It’s fine to have reaches (everyone should have these!), but your main focus should be on finding a safety school (one where you are highly likely to be admitted and to be able to afford) that you would be excited to attend. I have been on this site for over 10 years, and have seen far too few applicants who really take their safety schools seriously.
So, yes, try to get your scores up. Try to take a few AP classes and excel in them. Apply to Princeton and Cornell if you want, but most of all, find your SAFETY!
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