Apparently you can easily access the white water tank, you should inspect the hose to see if the hose is firmly attached to the white water tank. Try to press the switch of the water dispenser and look at the white water tank at the same time to see if water is leaking from where the hose enters the tank.
It will be a bigger job if the water is not leaking from the hose going into the white water tank. I have watched your YouTube video. At 4:30 of the video you can see the valve for the ice maker and the chilled water dispenser. Apparently the valve housing is either cracked, or the polyethylene (PE) hose is not seated properly into the valve housing. PE is very tough material so I don't think the PE hose is cracked. The most likely possibility is that the PE hose is not seated properly. You can start from 4:30 of the video and learn how you can detach the PE hose and insert it back firmly.
You have a female name. I think you should tell your lazy husband or boyfriend to fiddle with it. That's what they are for.