Remove duplicate example endpoints from base.py

[coderabbitai]

Context

There are multiple example endpoints in examples/fastapi/resources/base.py that demonstrate similar error handling scenarios. We should consolidate these to maintain cleaner examples.

Duplicate endpoints to review:

• /raise_cuenca_errors and /simulate_401 (unauthorized errors)
• /raise_fast_agave_errors (also unauthorized error)

This was identified during the review of PR #154.

Action items:

• Review all example endpoints
• Identify duplicates and determine which ones to keep
• Remove redundant endpoints
• Update tests if needed

References:

• PR discussion: Feature/add request logging middleware #154 (comment)