I'm not seeing a parts breakdown for your specific model but most of these small ice makers use a bin thermostat to stop the unit when the bin is full... And usually this control is easily visible for user adjustment since the ice maker may be placed to work in environments with different temperatures which can affect proper operation... Try to locate the feeler bulb of this stat; it should be mounted in the bin somewhere, either on a wall or right below the evaporator ice grid then trace it back to the control... Adjusting the control CCW (warmer) should turn the machine off with ice physically touching the feeler bulb of the bin stat... Be patient when testing this control, I've seen some circuits that shutoff the machine only after a harvest cycle is complete...
The other possibility is that the stat is defective, look for a part number on the control body and input numbers into APPros 'find parts' link...