A steady stream/trickle of water leaks from tube behind the soap tray and flows out of the spout onto the inner rubber door gasket.. When I plug the tube with my finger, it give a "poof" of pressurized air when released. Is there supposed to be a hose or plug that leads to/against the part that pivots on the inside-top of that compartment? Nothing appears to be broken off the soap tray that fully inserts. Door seals in fine condition, water is clearly coming from the tube at the back of the soap tray compartment. I don't see any gaskets to replace without unscrewing something.

It's not unusual for a refrigerator to drip a little water on the floor after you replace the water filter-air trapped in the water dispenser system can make the water dispenser drip enough to overflow the drip tray below the dispenser. You can fix it by streaming a gallon or two of water through the dispenser to eliminate the trapped air.
If water drips on the floor from the back of the refrigerator, a leaking water inlet valve or cracked water system tubing could be the cause. A clogged or cracked defrost drain tube could also cause the leak. Defrost condensate water collects in the drain pan at the bottom of the refrigerator so a cracked or overflowing drain pan can also cause water to drip on the floor behind the refrigerator. Check the drain pan for cracks and clean out any foreign objects that may be inside the drain pan.
Excessive frost caused by a leaking door seal can also cause the defrost drain pan to overflow. Check the door gaskets and replace them if damaged.

i know you said you have flushed through the sunroof drain channels , have you actually cleared all four out let tubes , one ine each corner of sunroof tray ,there are rubber tubes from these outlets tath emerge at the wheel arches behind inner arch covers its ussually the back ones that get forgotten ,a good tool to use is a flexible domestic pipe cleanring rod ,used by plumbers for sink blockages etc let me know if this was of any help cheers

Before you buy a new $100 door gasket, pull out the soap dispenser tray and look inside the washer where it normally sits. If there is significant soap accumulation (even 3/8 inch), the water can become backed up and trickle down the washer front to the door bottom, making it look like a door leak. Fixed mine this way.

We had water pour out of the dispenser of our Kenmore HE2 washer. hot water helped us for one load then i realize that a trapped rag was the problem We were actually able to pull the face cloth out of the intake tube without taking everything apart!
opened the washer door and feel around inside the rubber seals to find where the intake tube connects to the drum (upper-left side). felt a small bit of cloth sticking out of the tube and were able to slowly work it out by pulling back and forth. and pulled it completely out thats all it was try this

this are the possibilities for the leak :-----
Door gasket loose/torn
Corner gaskets or door baffle/vent gasket
Door lock/latch loose/broken
Split spray arm
Over filling with water...usually the level is just under the heating element is normal
Something leaking through the door...like the soap or rinse agent dispenser gasket, silverware basket button.
Door hinge(s) bent
Wrong soap was used...dish sink soap instead of dishwasher soap
Rinse aid being used with mechanically softened water ( makes foam or suds inside the dishwasher )

Leaks from under the unit:
Look for whiting or calcium stain on the motor and pump assembly = motor and pump assembly seal leak...access panel removal help
Hose for upper spray arm split
Fill hose split or fill hose spout air inlet is calcium covered
Drain hose is split
Rusted liner...metal liners only
Fill valve leaking or allowing water to fill all the time
Heating element ends....where they come out through the dishwasher liner
Float or float gasket.

run vineger through it or CLR before they plug up completly. good luck

I had similar issue. Fill tube running from the bottom of detergent tray to the washer drum was plugged.... (by a sock!!!). How did it get there? I'll tell you. You see the drum seal (around the inside of the door) is not a tight seal. You can actually reach up behind it from where it meets the top of the drum. Anyway in my case, a sock made it's way through that seal and outside the drum and into the drum containment vessel. So when the drum spun (to dry the clothes and empty the water) it made a terrible noise. The sock became lodged at the base of the fill tube opening and plugged it thus not allowing any water into the drum. Instead, when filling, the water just flowed out from the bottom of the detergent tray and onto the floor. I hope this helps.

Check the wire ring that goes around the rubber seal located just inside the door - we had to call a repair person out one day because our door was leaking, and he told us it's important that the spring be at the top of the door opening to prevent leaks from happening. He had a hard time moving the spring to the top but that seemed to help.

A few months later we found a water leak from our soap tray, so we had the tray replaced under warranty, although I'm not sure that helped because the replacement looked identical to the old one. It only leaked when we used powdered Oxyclean and liquid soap in the tray at the same time; the leaking water ran behind the front cover and dripped out onto the floor all along the front of the machine, mostly near the left corner, but we stopped putting Oxyclean into the tray & the problem stopped. Hope that helps.

try onscrewing top panel on machine...when machine agitaes strongly a hose my pop lose up from top.

We had the same problem- for us it was because we were mixing laundry booster (Oxyclean) with liquid soap in the dispenser. It seems the water running through the tray had insufficient pressure to properly flush the tray out, so residue accumulated on the back & underside of the tray. Our water pressure is good here, and we don't use a water softener or filters that can reduce the pressure. Unfortunately it seems to just be a bad design of the soap dispenser tray.

We also had a problem with water/bleach leaking from our soap dispenser- when we used the bleach compartment in the dispenser we got leaks dripping onto the floor from behind the front cover of the washing machine. It was running down the front of the washer behind the front cover & coming out onto the floor. The repair guy said this was because the dispenser tray was pulled out too far, but the reason we were pulling the soap tray out so far was because the bleach compartment was too far back in the tray to use if we didn't. Now we just leave the drawer partially closed & pour the bleach directly into the soap compartment along with the soap.