Hello,

The admission to NITs occur through JoSAA counselling. JoSAA is the authority that is responsible for conducting the counselling for admission to IITs, NITs, IIITs and GFTIs. In order to consider you for the NIT admission, you should register for this. Then admission proceeds with the help of JoSAA rank list. This rank list includes only the candidates who applied for JoSAA. This is different from JEE Mains rank list. But with 86% you can get into NITs. For NITs, there are two types of quotas: Home State (HS) and Other State (OS). You can apply for HS quota in NIT Andhra Pradesh.

Hello

With this score it would be tough for you get into this NIT but you can still check for previous year cutoffs of this NIT on the following link to get rough idea about its cutoff this year
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-andhra-pradesh/amp

To check for other NITs cutoff you can refer to the following link

https://www.google.com/amp/s/engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp
Hope this solves your query.
Good Luck!!