Cooling fan does not work

The fan runs when you unplug the coolant temperature sensor. The system is working. The fan ran, so there is no point in testing the fan motor, the relay, the wiring, etc. They all have to be working for the engine computer to turn on the fan relay when you unplug the sensor.

Radiators today are very efficient, and it is not uncommon for them to keep an engine sufficiently cool without the fan, even when standing still and idling for a while. If you think there is an overheating problem, use a scanner to view live data and see the exact temperature the engine computer is seeing. You can also view the "Inputs and Outputs" to see if the computer is commanding the fan on. If it is, but the fan is not running, that is the time to do testing related to that circuit.

For a long time, Chrysler turned their fans on at 210 degrees, and off at 198 degrees. That may have changed in recent years. GM typically does not turn their fans on until well over 220 degrees.

Unplugging the coolant temperature sensor, like you did, is the way we test the circuitry. Turning the radiator fan on is the default for safety. With a break in the circuit, there is no way for the engine computer to know coolant temperature, so the fan is turned on in case the engine is overheating.

What I am questioning is why the fan does not run when the AC compressor cycles on. I would be looking at whether there are two fans or just one. There will be two when the AC condenser is beside the radiator, and not in front of it. In that case there will be two relay circuits to look at.

Nothing. The circuit is working if the fan turns on when you unplug the coolant temperature sensor. The previous person never replied back to say if they had two cooling fans or one. Reread the entire conversation to get some ideas of what to look for. Specifically, the fan that cools the AC condenser should run when "AC" or "defrost" is selected.

Do you mean working as it is supposed to, or it runs any time the ignition switch is on? If it runs all the time, there is likely an electronic relay that is shorted. I would have to do some quick research on that.

Dandy. Carry on.