If the ice chute flap on the dispenser is staying open this can certainly cause the issue you are having, if its not staying open then you have a temperature issue in the freezer which could be several different issues like a bad evaporator fan motor (the fan motor in freezer not running) a defrost problem where ice has built up enough on the evaporator coil to cause air flow issues, but if any of those were the problem then your refrigerator section would not have the proper temps either. Best thing to do if the flap is not open, is to monitor the temps in the freezer for the next few days and see what the average temperature is.
If it is the flap let me know I will get you the part numbers you will need to repair the issue. thanks.
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