Welcome n00b
I did find a
Kitchenaid mixer service manual with schematic.
It seems to have a "control plate" with mechanical govenor switches to give speed regulation and multiple speed options. I am speculating based on the wiring diagram.
So mechanical speed-feedback comes from the control plate/switch, which toggles the two speed-input wires of the phase control board, giving at least four different speeds:
1. nothing connected to blue and white/red for lowest speed.
2.
Or Short white/red to red for speed A
3.
Or short white/red to blue for speed B
4.
Or short red to blue for highest speed.
Red still always goes to the (motor load) field winding.
You can try run it on a workbench using a lightbulb in place of the motor.
Again, I am speculating without details of the mysterious control plate's switches.
Whirlpool W10325124 Control
Red - connects to Control Plate, then thru to field winding (red)
Black - connects to Control Plate, then thru to Neutral (white)
White/red stripe - connects to Control Plate, speed select A.
Blue - connects to Control Plate, speed select B.