Check the wires where they go into the door below the lower door hinge first. Look for any pinched or broken wires. The yellow wire comes straight from the dispenser board and the tan wire comes from the ice maker.
So as it stands now the dispenser works correctly and when the ice maker is calling for water both coils (brown and blue) are getting 91 VAC and water fills the ice maker and comes out the dispenser at the same time.
On the ice maker module, measure the voltage between holes "L" and "N".
Your meter should indicate 120 VAC. You can activate the water valves from the ice maker power module. Use a piece of insulated wire and short "L" and "V". Water should come into the ice maker. See if also comes out the dispenser.
The holes are marked on the power module:

So as it stands now the dispenser works correctly and when the ice maker is calling for water both coils (brown and blue) are getting 91 VAC and water fills the ice maker and comes out the dispenser at the same time.
On the ice maker module, measure the voltage between holes "L" and "N".
Your meter should indicate 120 VAC. You can activate the water valves from the ice maker power module. Use a piece of insulated wire and short "L" and "V". Water should come into the ice maker. See if also comes out the dispenser.
The holes are marked on the power module:
