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Hello Tanveer,
Your percentile sounds pretty good but the cutoff lists are based on ranks and not on percentile. I think with 96.7 percentile you can get any NIT you want but just to be sure you can check the cutoff list for NITsfrom the link given below.
NITs Cutoffs - https://collegedunia.com/news/e-301-jee-main-cut-off-for-nits
All The Best.
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