Hey Diya,

So as per your rank mentioned above in JEE paper-2 ,is is well for you that you may get a seat in a lower grade NITs or GFTIs. These include

NIT PATNA

BIT Mesra

MIZORAM UNIV.

It is advised to you to kindly look into NIT Patna as their cutoff usually lie between  3600-3900(as per previous trends).
However, it would be better if you could provide your home state since there may be a benefit in some of the NITs which offer lower cutoffs for their homestate .,like

NIT JAIPUR

NIT HAMIRPUR

NIT RAIPUR.

You can also use the rank predicted to in the link provided below

for cutoffs at NITs Refer to the link below

https://engineering.careers360.com/articles/jee-main-cutoff-for-b-arch-b-planning

Good luck