Kindly advice me on 5 year career gap.

About me:- B.E. in extc 2018 batch Mumbai University. In 2019 I joined TCS as fresher, stayed there 7 months. Left for IIT Mtech aspiration. Prepared fulltime gate exam 2020, 2022, 2023. Did not worked. 2021 was medical issues and job crunch period for me. In 2024, I have joined an offline IT training institute full stack java.

My worry is: after gaining 2+ years experience in small company for the time being, will this 5 year gap still create problems at the time of lateral job switches into FANG?