Dish Detective

0.5 hr weekly, done after 6 pm (you don't have to all rooms at once, but try to get to each room once per month)

Wander around the house and grab any dishes you see in random places which don't have a usual workshift and take them to the dishroom.

When we are having weird dish shortages, knock on everyone's doors after 6 PM to ask them to take their hoarded dishes down to the dishroom.