As someone who failed to clear JEE and AIEEE back in 2011 and studied from a tier 2 private engineering college, plz stop making an exam your entire identity. Life will throw at you many opportunities in future, you just have to catch one and make the best use of it.
None of my friends cleared JEE lol and most of them are doing amazingly well in life and most of them working in FAANG.
Life is long and complicated and JEE is one of the least complicated milestones you'll ever face in life.
Don't end your life for an exam or for a person that/who may not matter to you in a few years time.