Flashback to boot camp, we did this with our clothes. One set (well, actually several) of perfectly folded never-used clothes in the wall locker (ready to be inspected by the drill instructor, of course), one set of clothes on your body, and one set in the laundry bag. They did laundry often enough that you could get by with just wearing every set of clothes for two days. Gross, but we collectively decided to hold our nose and say nothing about the aroma of our teammates in return for not having to tweeze t-shirts.
It worked until the drill instructor noticed that the clothes in the wall locker weren't aging.
Need to triple buffer or there’s a condition where you have used a plate from the clean pile, but the dirty wash is still running. You’d just have to stand there in the kitchen like some kind of Sims character.
You can buy two small dishwashers, keep clean stuff in one, dirty in the other, then run the dirty one and swap.
Or you can also just have one plate and wash it by hand after every meal.