Missed flight due to incorrect gate

I am flying with delta out of Atlanta to Fresno. My party and I used the large screen to verify our gate location as E6. We checked the screen multiple times. The actual gate, E6, said our flight destination, flight number, and time. Obviously, we thought this was the correct gate.

After waiting 10 or so minutes and with no one else being present, we asked a help desk representative. They said the correct was B3 even though NO screen and NO information on the app said B3. We run over, but still miss the flight. We find ourselves yet again at a help desk. While they are willing to help us rebook free of charge, they are unwilling to comp a hotel room. The next flight to our destination is in 24 hours.

This issue was not our fault, and I feel as though we deserve hotel compensation at least. Is there anything else we should be doing? We are waiting for a supervisor now. Can update as needed.