You can only get one pet in each game. The default pet for OoS is Ricky, and the default pet for OoA is Moosh. By default I mean you get that pet if you don't do anything special too get the flute, in other words you just go find the pet and they give you their flute. But you can get a flute for one of the others instead if you do something for it, like buy it at a shop or play a mini-game for it.

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