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Hey there
Your rank at 95.6688328 percentile will be around 38k. As you have not mentioned your state or category i am assuming you to be of open category. So you have less chances of getting CSE in any IIIT even in spot round you have chances of getting ower branches in lower IIITs.
check the link
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
good luck
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