I suspect that when there is a "call for AC" the relay is energised and the NO contacts close causing the AC to switch on.
I think, you have misunderstood.
The relay is a fire alarm interposing relay, and its purpose is to switch off the ventilation when the fire alarm sounds. It will do this by interupting the ventilation control circuit via a n/c contact that opens when the relay is energised.
I would also expext that somewhere in the system there is manual override switch to restart the ventilation, it would normally be part of or beside the fire alarm panel.