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If water is coming from the door, then it can drip on top of the door below it and get into to the refrigerator causing water under the veggie bins. So if you're certain the drain is clear (and I would used compressed air to blow up from the bottom of the drain below the refrigerator to ensure it's clear), then your freezer door is going bad and the insulation is breaking down inside causing condensation to form and drip out the door. You'd have to take the door apart and put insulation inside to prevent condensation from forming.
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You would pull the refrigerator forward and remove the lower back access panel. Look for the drain hose which looks like the part in the link below.
CLICK HERE for drain hose
Then just use compressed air, seal off around the air nozzle and blow straight up into the drain hose to make sure it's clear.
No real special insulation. I would use a spray foam insulation and then put the inner door liner back onto the outer door somewhat quickly before the insulation dries.
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