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The icemaker only works intermittently because the temperature inside the freezer is warming up and the icemaker shuts off if it's not cold enough. The frost build up behind the freezer drawer is the key to your problems. It sounds like your unit is not defrosting on it's own. You'll need to remove the back panel inside the freezer and use a multimeter to test continuity through the defrost heater and the defrost thermostat. The thermostat is a 1" round device with 2 wires going to it clipped onto the top of the silver evaporator coils. If you don't have continuity through the heater or the thermostat, you'll need to replace the part. If both parts have continuity, you'll need to order and replace the main control board behind the refrigerator because that is what controls the defrost cycle.
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