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Hi dear,
You have scored 99.69 percentile in JEE main that means your rank should be around 2800.you can also check here
https://engineering.careers360.com/jee-main-rank-predictor
With this rank you will get any NITs you want you have to participate in josaa counselling only.you will not face any problems for not applying in apeamcet and ts.
Hope it helps
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