Product review (5 stars): AP4359694 ice maker module
My old ice maker module, which was also an after-market purchase, stopped working after about 15-20 years.  After cross checking for compatibility, it seemed that an AP4359694 would work.  This module on Amazon was a great value, retrofitted perfectly, and has been working like a charm.

At first, I didn't install the shut-off arm correctly so the ice maker would freeze over.  The arm was not fully engaged with the module. There's a great installation video on the site.