Hello Aspirant, If you got 96.5 percentile in JEE Main then your rank after JEE Main April will be close to 35 thousand.
Last year closing Cutoff rank for NIT Andhra for Computer science Engineering candidate. for different categories are

General Category
Home state - 14811
Other State - 17797

OBC Category
Home state - 23441
Other State - 24979

SC category
Home state - 68747
Other State - 95524

ST Candidate
Home state - 964080
Other State - 124080

As per the last year cutoff,there is very less chance to get CSE in NIT Andhra if you are a General or OBC Category Candidates, but you can surely get if you are SC or ST category candidates.