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Runa will give you a hint. Based on this hint, you'll need to find the correct Country Cuddly to conquer this quest.
All the answers can be found in the country cuddly descriptions.
Items you can gain from this quest:

PetPedia - Walrus

PetPedia - Arctic Fox

PetPedia - Snowy Owl

PetPedia - Reindeer

PetPedia - Polar Bear

PetPedia - Musk Ox

PetPedia - Arctic Wolf

PetPedia - Alaskan Malamute

PetPedia - Emperor Penguin

HealthPedia - Cervidae

PetPedia - Snow Goose

Healthpedia - Cricetidae

PetPedia - Collared Lemming

Petpedia - Dall Sheep