Water dispenser keeps running

water valve in dispenser in bad,, check with store for possible replacement ,,or maybe the shut off valve isn't open all the way in water line connection

sounds like the paddle you push to dispense the ice and water is sticking,if there's a rubber pad there try moving it to see if it frees it up,if not it looks like you have to replace the whole part 242100018 go here to see it
https://www.repairclinic.com/PartDetail/Dispenser/242100018/3513417

The problem is actually in the dispenser lever. The paddle that you press to dispense ice has a plastic lever/arm that extends behind it (you can't see it, it's up high in the assembly.) This plastic lever presses upwards when you push the paddle and presses into a switch. The switch actuates the ice. This little lever is also the ONLY thing that stops the paddle from continuing to press into the water paddle. So when the lever breaks, it creates your two symptoms - no ice and if you press further, you press the water switch and get water.

You need part# DA97-08519A. This is the lever assembly with the switches. You pry the control panel assembly (the whole digital display above the water/ice dispenser) out by inserting a slim pry bar (I used a pocket knife and didn't damage the finish) on one side and working my way around. The assembly is held in place by five plastic tabs (two on each side and one on the top.) When this is removed, the part# above will be obvious.

adjust tempt of fresh food side it may be to cold and freezing veg/ and water line .. **** ..

Is this a new or used refrigerator?

There appears to be a double water valve located on the bottom of the fridge. One of them is either clogged open, or there is something on the door lever which is keeping the water switch constantly enabled.

You'll need to replace the whole ice maker system. Problem exist in the mechanical box connected to the lever which once opened is almost impossible to re-assemble. Cost around $95.00

you have a possible water valve that is not shutting off all the way on the water dispensing side, it has 2 coils, one for ice and one for water. the other possibility is the dispenser tank is frozen, from being too cold in the refr. section and thats causing water pressure to continue running even when not pushing the lever. let the unit warm up slighty on the refr side and see if you can get water to flow properly.
if not working after warming up, then you might have to replace the water inlet valve.

If you can pull on the lever to make water flow stop, chances are there is a mineral buildup inside the valve, or the seat in the valve has failed. Either way, the valve normally needs to be replaced as they are not usually serviceable. Leave the Model number of the refrigerator so that I can check what to replace.

There is a solinoid valve that opens when you push the switch in. It has apparently failed and is leaking. Sometimes taking it apart and cleaning it will fix the problem.