In this task, you are given a sentence and a profession. The sentence mentions two professions: one's gender is identifiable using the gendered pronouns in the text and the other's gender is unidentifiable. You are expected to return whether the given profession's gender is identifiable or unidentifiable.

Example Input: Sentence: The cook asked the designer if he likes the new dish.
 Profession: cook
Example Output: Unidentifiable

Example Input: Sentence: The counselor met the construction worker and told her tomorrow is another day.
 Profession: counselor
Example Output: Unidentifiable

Example Input: Sentence: The manager fired the cleaner because he is too lazy.
 Profession: manager
Example Output:
Unidentifiable