Replacing electric Ice Machine Motor with a resistor in a Samsung Refrigerator
Notice that on the spec sheet you linked, "stall" draws 0.32A with the highlighted motor, while "no-load" it draws only 0.011A.

If you plan to replace the motor with a resistor to "fool" the control electronics, then I would recommend aiming for the "at maximum efficiency" stat of 0.059A, thus about a 220-ohm resistance for the 'nominal' 12V supply, or around 300-ohm resistance for 'max' 16V (with >= 0.5W power dissipation rating).

Once you've tried with the 200-ohm load, adjustments can be made to alter the impedance to more closely/elablrately fit the motor's start-run-jam cycle resistance curve, if that becomes necessary.