Based on the search results, the expected cutoff for NIT Trichy for B.Tech in Computer Science Engineering (CSE) in 2024 is projected to be between 1499-1504 for other state candidates. For home state candidates, the cutoff is generally lower, around 1196-4178 in Round 1

Given your JEE Main Paper 2 score of 88%, NATA score of 137, and 95% in boards, you may have a competitive chance, but it ultimately depends on the final cutoffs and the number of applicants. Regularly check the official NIT Trichy website for the most accurate and updated information.