They make grates for cattle designed to squeegee the waste through the floor.
Perhaps a perforated top floor and a combo vacuum HVAC system. In normal operation, the perimeter of the floor has a low positive pressure that fills the room with conditioned air. Under cleaning mode, a strong vacuum is pulled to whisk away accumulated debris.
Don't know what to do about liquid spills. Would probably need to be modular tiles so once could pull them up to clean.
Still, server rooms have perforated floor tiles with a subfloor that directs cooled air primarily to the "cold aisle" of server racks, and is exhausted through high mounted vents.
Doesn't help with hair and peanuts though.
I'll go for a Roborock S7 for now