Answer:
The character archetype of Sherlock Holmes is The Sage.
Step-by-step explanation:
The Sage is known for their intelligence, wisdom, and problem-solving abilities, which are all traits that Sherlock Holmes exhibits consistently throughout his stories. The Sage is often the mentor figure in stories, guiding the hero with their knowledge and skills, and this is evident in the character of Sherlock Holmes as well, as he often helps his friend and colleague Dr. Watson solve difficult cases.