How do you recruit Arceus on Pokemon Mystery Dungeon Explorers of sky?

You can't recruit Arceus in Pokémon Mystery Dungeon: Explorers of Sky. Arceus is not a recruitable Pokémon in the game.

While Arceus is a powerful and important Pokémon in the Pokémon world, its role in Explorers of Sky is primarily as a deity, not a recruitable companion.