Werewolf question

Werewolf vs Alteration

In the College of Winterhold questline there's a quest where Brelyn turns you into various animals (cow, horse, goat) and the polymorph spell takes hours (in game) to wear off. My question is if some sufficiently powerful mage turns a person into an animal but the person is a werewolf and tries to transform into one will it breaks the Alteration spell?

Basically: Mage tries to turn a person into a goat VS person transforming into a werewolf to shrug off the spell