docs: update Rook guide for public 0.1.0

[4DvAnCeBoY]

Summary

• replaces the former private-repository install flow with the public npm, checksummed shell, and Homebrew methods
• documents platform/runtime behavior and the tested Windows, pipe-installer, Homebrew dependency, and controller limitations
• separates headless and interactive doctor behavior and adds a release-accurate installation screenshot
• adds a real expense-policy scenario while explicitly marking session-scoped tool evidence as Unable to Verify in 0.1.0
• dates live-service observations so later service changes do not make the guide silently misleading

Release validation

• @testmuai/rook 0.1.0 installed and launched from an isolated npm prefix
• shell archive installed from a downloaded script, checksum verified, and bundled runtime launched without system Node
• Homebrew bottle installed, tested, uninstalled, and the prior local Rook link restored
• public release assets, install.sh flags, formula behavior, changelog, and gated release pipeline checked
• realistic refund, triage, and expense agents exercised through missing-input, boundary, repeat-state, multimodal-output, and audit-evidence cases

Documentation validation

• HOST=localhost API=local-build-placeholder pnpm build
• all seven changed routes returned HTTP 200 from the production build
• installation and use-case pages inspected in headless Chrome
• git diff --check
• adversarial review completed with both Codex and Claude; findings were corrected before push

The build reports the existing repository-wide duplicate-route and broken-anchor warnings. No warning references a Rook page or the preserved continuous-regression anchor.