Looks like a simple NE555 oscillator with the control adjusting the charge and discharge current ratio. There is a good explanation of how it works here:
https://www.instructables.com/id/555-Timer/step7/555-Timer-Astable-Mode-Duty-Cycle/
If I'm right, the potentiomter is used as both RA and RB so as one increases in value the other decreases. It looks like there are some fixed resistors in series to prevent the value being reduced to zero (short circuited). Unfortunately, this means there are alternating signals on both sides of the potentiometer so a simple capacitor to momentarily 'pull' the control one way will not work.
It should still be possible to do but the method depends on how the output transistor is connected. If you can trace a schematic from pin 3 of the IC to the motor connector it would help greatly.
Brian.