"Works" is intransitive in this sentence.
Here's why:
* Intransitive verbs do not take a direct object. In other words, the action of the verb does not directly affect something or someone.
* In this sentence, Beverly is performing the action of "working", but there is no object receiving the action. "At the pet shop" tells us where she works, but it's not the direct object of the verb.
Let me know if you'd like to see an example of a transitive verb!