Final answer:
Alyce runs away to the inn driven by a desire for freedom and to experience the world beyond her stifling environment, seeking to establish her own identity.
Step-by-step explanation:
Alyce runs away to the inn because she feels a need to escape from her stifling environment and experience the world. The decision to run away is not made out of unhappiness but from a sense of entrapment and the desire for freedom. By going to the inn, she sees an opportunity to launch herself into a new life, one where she can test her independence and seek out her own identity.