The bridge means the terminal is nine minutes away and there is no ferry in it. The car runs whenever flights do, which here means three in the morning as often as three in the afternoon.
It is included in every booking, by the night or by the hour, both ways. There is no charge and there is no charge for waiting either, which is the part other places quietly add.
Give us your flight number rather than the time. Flights slip and a flight number is how the desk finds out before you land.