"A motor capacitor such as a start capacitor or run capacitor is an
electrical capacitor that alters the current to one or more windings of a
single phase AC induction motor to create a rotating magnetic field.
There are two common types of motor capacitors, run capacitors and start
capacitors.
Some single-phase AC electric motors require a "run capacitor" to
energize the second-phase winding (auxiliary coil) to create a rotating
magnetic field while the motor is running.
Start capacitors briefly increase motor starting torque and allow a
motor to be cycled on and off rapidly. A start capacitor stays in the
circuit long enough to rapidly bring the motor up to a predetermined
speed, which is usually about 75% of the full speed, and is then taken
out of the circuit, often by a centrifugal switch that releases at that
speed. Afterward the motor works more efficiently with a run capacitor."
If this is the capacitor in question, it is usually physically large and is mounted outside the motor housing proper. Is the TD160 motor "single-phase induction type". If so, then it would have such a capacitor. This helpful reference says the motor is a 16-pole, 2-phase type:
https://www.theanalogdept.com/thorens_td_160_dept_.htm