Air India — Was not allowed to board plane as I was just delay by 5 mins

Flight No: AI-643
PNR: 6LUY59
Booking ID: NF243LGUH1019SYQ3973
E Ticket No:[protected]

I want to travel from Bombay to Udaipur. The flight was scheduled on 24th July 2023 at 2.20 PM IST.
Due to heavy rainfall, I was not able to web check-in (Server Issue) and reached Terminal 2 at 1.30 PM. I was requesting and begging in front of Air India staff, please allow me to travel as I need to reach Udaipur due to a medical emergency. I showed medical certificate and also ask them to talk with the doctor, but they ignored me and laughed. I was requesting till 1.50 but no response from their side.

Air India flights also get delayed but we understand your situation what about if we delay just for 5 mins? That's not fair.

I want my full refund.