As per rank and category you have some chances of getting the seat in NIT Patna. Follow the below table of cut-offs :

As you have little chances of getting in NIT Patna, better follow the other  colleges. For more details follow the link below :

Hello,

As you secured 2801 ST rank in JEE Mains and you need admission in National Institute of Technology Patna (Home State).

So by looking previous years cut off trends on NIT Patna you may not get CSE, but you have good chances to get ECE.

NIT Patna cut off trends: https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-patna

You can also predict your college:

Hope this helps

Thank you