Actually, it would be a pretty neat game, even if done before.
The "Maid Gaem", you play Sakuya who has to keep the SDM floors clean while doing some other simple chores. Too dirty floors and you start getting scolded by Remilia until gaem over.
Everyone from the outside has dirty feet. So you have to throw the Marisas (dirty feet) and ⑨s (wet feet), Ayas (drops feathers) out by hitting them with your mop, and clean up after them.
China also has dirty feet, but will help chase outsiders away unless you throw her out first. Patchy and Flandre may help chase intruders away (causing soot stains from magic use) but are mostly there to stand in your way.