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My LSDA GPA is currently 3.56, I'm taking the July LSAT and practice scoring in the high 160s-low 170s. I want to go to a bottom T14 school (ideally Georgetown). If I apply after my senior year for the next cycle, my GPA would be 3.65-3.70. Is it better to take a year off and apply next cycle?

Yes take a year off and keep an open mind (meaning do whatever intrigues you to do). law school will still be there after undergrad and even if you take a year or two off post undergrad