I worked with the central govt before doing my masters in International Business. Is govt experience a negative in one's resume?

Ans: JAC Delhi Colleges (Home State Quota)
You have a fair chance in:

NSUT (Non-CSE branches) – Possibly Mechanical, Manufacturing, or Civil.

DTU (Non-CSE branches) – Could get Mechanical or Production Engineering.

IIIT Delhi (non-CSE) – You may not get CS, but CSAM (CS + Applied Math) is a remote possibility if cutoffs drop.

IGDTUW (for girls only) – If you’re a girl, IT, ECE, or MAE are possible.

JoSAA – NITs (OBC-NCL Quota)
At your OBC rank ~25k, your chances in top NITs are slim, but these lower NITs and IIITs may be possible in core or newer branches:

NIT Mizoram / Meghalaya / Sikkim – ECE, Civil, Mechanical.

NIT Puducherry / Andhra Pradesh – Possibly Mechanical or EEE.

IIIT Una / IIIT Bhagalpur / IIIT Kalyani – ECE or CS (borderline).

IIIT Bhopal / IIIT Nagpur – ECE might be open.

See previous years' cut off