Add basic backend tests for API health endpoint

[godekina]

Add basic backend tests for API health endpoint

Repository: PolymorphicAI/study-copilot

Suggested Labels: backend, testing, medium, wave-ready

Suggested Complexity: Medium / 150 points

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Summary

Add basic tests for the API health endpoint.

Why This Matters

Testing the health endpoint provides a simple foundation for backend quality checks.

Tasks

• Identify backend testing framework or add a minimal test setup.
• Add a test for the root/health endpoint.
• Document how to run the test.
• Avoid requiring real AI API calls for the test.

Acceptance Criteria

• Health endpoint test exists.
• Test can run without real AI API key.
• Test command is documented.

Suggested Complexity

Medium / 150 points

Suggested Labels

backend, testing, medium, wave-ready