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Are there any advantages to applying early to T14s specifically for URMs? I planned to send in my applications early to mid October (before Oct. LSAT takers received their scores). It'll now be mid-November before I submit my applications. I've always heard that it's better in general to apply early. Does that rule apply for URMs?

You're still fine. URMs tend not to hear back until a bit later anyway, but as long as you're getting your apps in around Thanksgiving you're still in the "early" crowd.