The electric fan is triggered by two conditions:

Low speed comes on when the a/c high side pressure exceeds about 300psi.

High speed comes on at between 100-105C depending on the engine. At high speed, there should be more than enough airflow to keep the engine cool regardless of whether the clutch fan is working correctly.

You can jumper around the low pressure switch to see if the fan is functional, but that wouldn't tell you whether the switch was working. Same for the high speed switch.

One thing you should probably do is to check the low speed fan resistor, which is a white ceramic box on the left inner fender. These resistors often fail.