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There is an exemption to all the country-based entry bans (also applying to the one for India) for F-1 and M-1 students starting a program beginning August 1, 2021 or later. As is usual with F-1 and M-1 students, they can enter up to 30 days before the beginning the their program.
(There was an earlier exemption for F-1 and M-1 students for the bans on the Schengen Area, the UK, and Ireland only, without restriction on the program start date. I am not sure why information on that is not available anymore. In any case, it would not help you since you are subject to the India ban.)