docs: update manual authentication commands

[xujiantop-crypto]

What does this PR do?

Updates the manual authentication walkthrough to use the current, visible CLI commands:

• testsprite setup --no-agent configures credentials without installing an agent skill.
• testsprite auth status verifies the active identity and profile.

This keeps the manual, step-by-step flow intact while avoiding hidden deprecated aliases and their deprecation notices.

Related issue

N/A - documentation-only correction; the contribution guide does not require an issue for doc fixes.

Type of change

• Bug fix (non-breaking change that fixes an issue)
• New feature (non-breaking change that adds functionality)
• Breaking change (fix or feature that changes existing behavior)
• Documentation only
• Build / CI / chore

Checklist

• PR targets the main branch.
• Commits follow Conventional Commits.
• npm run lint and npm run format:check pass.
• npm run typecheck passes.
• npm test is not required because runtime behavior is unchanged.
• New behavior tests are not applicable because runtime behavior is unchanged.
• No secrets, API keys, internal endpoints, or personal data are included.
• User-facing changes are reflected in DOCUMENTATION.md.

Notes for reviewers

npm run lint completes with zero errors; its existing warnings are unrelated to this documentation-only change. npm run format:check and npm run typecheck pass.

Summary by CodeRabbit

• Documentation
  • Updated authentication setup instructions to use the current setup commands.
  • Added the --no-agent option to environment-based setup guidance.
  • Renamed the authentication verification command to testsprite auth status.

[coderabbitai]

No actionable comments were generated in the recent review. 🎉

ℹ️ Recent review info

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📥 Commits

Reviewing files that changed from the base of the PR and between 125872f and 66523b2.

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• DOCUMENTATION.md

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Walkthrough

The authentication documentation now uses testsprite setup --no-agent, adds --no-agent to environment-based setup, and uses testsprite auth status for verification.

Changes

Authentication documentation

Layer / File(s)	Summary
Update authentication command examples DOCUMENTATION.md	The documentation replaces the interactive configuration command, updates the environment-based setup command, and renames the verification command.

Priority: ⬇️ Low

Estimated code review effort: 1 (Trivial) | ~2 minutes

Change: Other

Merge Risk: ⚪ Minimal · up to 66523

The authentication walkthrough now documents the current supported commands with no merge-blocking risk identified.

🚥 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 clearly and concisely describes the documentation change to the manual authentication commands.
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…
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests

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