docs: revamp docs as Elastic Agent Factory

[github-actions]

Summary

• Reframe docs terminology from "GitHub Agent Workflows" to Elastic Agent Factory (GitHub Agent Workflows) across top-level docs and navigation labels.
• Add explicit recommended workflow sets:
  • Starter repo operations set: pr-review, issue-triage, mention-in-issue, mention-in-pr, pr-actions-detective
  • Continuous improvement add-ons: bug-hunter, bug-exterminator, code-simplifier, docs-patrol, newbie-contributor-patrol, small-problem-fixer, stale-issues, test-improver, breaking-change-detector, code-duplication-detector, update-pr-body
• Keep Claude workflow docs positioned under Legacy.

Validation

• Attempted make docs-build (fails in this runtime because uv is not installed: make: uv: No such file or directory)

Fixes #333

Generated by Update PR Body

[coderabbitai]

📝 Walkthrough

Walkthrough

This PR rebrand GitHub Agent Workflows to Elastic Agent Factory across documentation, adds a "Top recommended workflows" section highlighting starter and continuous-improvement workflow sets, expands quick setup instructions, and updates navigation labels.

Changes

Cohort / File(s)	Summary
Navigation & Configuration mkdocs.yml	Updated navigation label from "GitHub Agent Workflows" to "Elastic Agent Factory (GitHub Agent Workflows)".
Documentation Content README.md, docs/index.md, docs/workflows/gh-agent-workflows.md	Rebranded GitHub Agent Workflows to Elastic Agent Factory across all files; added "Top recommended workflows" section with starter operations and continuous-improvement add-ons; expanded quick setup script section with curl-based installation snippet; updated links and introductory text.

Estimated code review effort

🎯 1 (Trivial) | ⏱️ ~5 minutes

Possibly related PRs

• docs: split GitHub Agent workflows into human, event-driven, and scheduled #337: Modifies the same documentation pages with workflow taxonomy restructuring aligned with the branding changes.
• docs: focus docs on gh-aw workflows; move Claude to legacy #280: Updates the same documentation files to reprioritize and relabel the GitHub Agent Workflows area.
• Add quick setup script for gh-aw workflows #173: Adds and documents the quick setup workflow that is now referenced in the expanded documentation.

Suggested reviewers

• github-actions

Poem

🐰 The docs now glow with Factory names,
Workflows arranged in recommended frames,
Starter sets dancing, improvements aligned,
A clearer path for minds to find! ✨

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title accurately describes the main change: revamping documentation to present the project as Elastic Agent Factory instead of GitHub Agent Workflows.
Linked Issues check	✅ Passed	All coding objectives from issue #333 are met: documentation reframed to Elastic Agent Factory, recommended workflows highlighted, and documentation structure emphasizes starter and continuous improvement workflows.
Out of Scope Changes check	✅ Passed	All changes are directly related to issue #333 objectives: README, index.md, gh-agent-workflows.md, and mkdocs.yml updates align with reframing and highlighting recommended workflows.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.

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✨ Finishing Touches

• 📝 Generate docstrings (stacked PR)
• 📝 Generate docstrings (commit on current branch)

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Post copyable unit tests in a comment
• Commit unit tests in branch issue-333-elastic-agent-factory-docs-ea0ed2c58049db4c

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[github-actions]

No blocking issues found; this would be an APPROVE verdict, but GitHub requires a COMMENT review for bot-authored pull requests.

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