Your ice maker is clogged, not broken.
A humming ice maker that drops nothing is almost always a jammed ejector or a frozen water line, not a dead motor.
The hum is the motor trying to do its job. The ejector blades are pushing against a clump of ice that froze together, or against one cube stuck in the wrong place. The motor strains, hums, and gives up. Same thing happens when the freezer is too warm and cubes partially melt, then refreeze into a solid block.
The other common culprit is the water inlet valve. You hear it humming as it tries to open, but the supply line behind the fridge is frozen or the
