docs: document nat serve /health endpoint in REST API guide

[alwaysprince05]

• Add /health to Default Endpoint Paths table
• Add Health Check Endpoint section with request/response examples
• Document use cases for liveness/readiness probes
• Cross-reference MCP/FastMCP health endpoints

Closes #2073

Description

Closes

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Summary by CodeRabbit

• Documentation
  • Added the /health endpoint to the REST API reference.
  • Documented its GET request, successful response, examples, availability, and use for service health checks.

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• docs/source/reference/rest-api/api-server-endpoints.md

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Walkthrough

The REST API guide now lists and documents the FastAPI GET /health endpoint, including its successful response, request examples, probe use cases, and availability note.

Changes

REST health endpoint documentation

Layer / File(s)	Summary
Health endpoint reference docs/source/reference/rest-api/api-server-endpoints.md	The endpoint table now includes GET /health. The guide documents the 200 response, {"status":"healthy"} payload, curl and JSON examples, liveness/readiness probes, and FastAPI availability.

Estimated code review effort: 1 (Trivial) | ~3 minutes

Merge Risk: ⚪ Minimal · up to 866ca

This documentation-only change adds guidance for the existing health endpoint and introduces no actionable merge-blocking risk; it is merge-ready after normal checks and review.

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The title is concise, descriptive, imperative, and accurately identifies the REST API health endpoint documentation change.
Linked Issues check	✅ Passed	The documentation covers the /health route, GET method, 200 response, examples, probe use cases, and operational behavior requested in issue #2073.
Out of Scope Changes check	✅ Passed	The changes are limited to REST API documentation and directly support the requirements in issue #2073.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check. Docstring coverage is scoped to functions touched by this diff. Analyzed 0 functions across 0 files. (1 skipped: 1 unsupported.)

✨ Finishing Touches 💡 1

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• Commit on current branch

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• Create PR with unit tests

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[willkill07]

@alwaysprince05 this is a duplicate of #2094

This is the second PR you've opened which is duplicative work. Please stop.