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 manager fired the cleaner because he is too lazy.
 Profession: cleaner
Example Output: Identifiable

Example Input: Sentence: The laborer noticed the designer and greeted him enthusiastically.
 Profession: laborer
Example Output: Unidentifiable

Example Input: Sentence: The physician owed the cashier money because he paid for the vodka.
 Profession: physician
Example Output:
Unidentifiable