Kenmore ice maker producing bad tasting, smelly ice

Kenmore ice maker is producing bad tasting, smelly ice. The fridge was here when we bought the house in 2012 and we don’t have the manual. I am guessing the fridge is 5-10 years old, but I’m not sure. Its s/n: 12446963CR.

Ice bucket has been emptied and cleaned, but ice still smells and tastes bad. We can’t find a filter for the ice maker, so we assume there isn’t a filter to change. Too bad.

Anyone have suggestions on how and what to clean so that the ice is usable?

Thanks very much,
Liz