This actually seems like a good solution to the problem.

Patchy is made to take a bath without having to fight her to stop playing.

And while Patchy hangs out to dry Sakuya has ample time to clean Patchy's room.

She also gets some sunlight to enjoy her game with.

No-one can say Patchy's not dedicated.

Putting the Patchy out to Dry. She even has a Handheld to pass the time, until the Battery Runs Out.

I call bullshit. No way that Switch's battery would last long enough to go through the whole washer cycle and drying.