Simple question: Using the schematic, below, how can this basic window air conditioner be modified to make the fan turn on and off with the compressor, via the thermostat? It is a 2-speed fan, and if I had to choose just one speed it would be Low. I already tried removing the white wire from the switch and jumping it to the thermostat. It cooled OK, but when the thermostat opened, I could hear the fan motor buzzing quietly and trying to turn. The whole idea here is to set the thermostat and let the air conditioner start up and run when, and if, the room gets warm, all without having the fan running constantly 24/7.