Fan Control Theory

im only saying that because the PWM control pin with analogwrite(3, 0) would only decrease the speed by 5% (barely noticeable).

Then again i don't know if its anything I'm doing incorrectly. I have the gnd from the arduino to my breadboard and then 12v into the breadboard terminal strip, so the grounds are common. The fan is connected to the 12v and gnd on the breadboard and the blue PWM wire is connected directly to pin 3.

If i wont need to PWM the power what is the use of the mosfet? Sorry for the stupid question and thank you for all your help.