Add a clean-checkout product gate

[itsjling]

Summary

• pin Node 22.13.0 and npm 10.9.2 for local and hosted setup
• add one staged product gate for lint, tests, docs, builds, and the packed package
• document an idempotent lockfile setup and use it in the Pages workflow

Verification

• corepack npm run check
• fresh temporary clone: corepack npm run setup && corepack npm run check

Closes #16

Stack

1. Report doctor capabilities separately #44
2. Add a clean-checkout product gate #41 👈 current

[chatgpt-codex-connector]

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Reviewed commit: f327435077

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[itsjling]

@codex review

[chatgpt-codex-connector]

Codex Review: Didn't find any major issues. Bravo.

Reviewed commit: 7b61ab1732

ℹ️ About Codex in GitHub

Your team has set up Codex to review pull requests in this repo. Reviews are triggered when you

• Open a pull request for review
• Mark a draft as ready
• Comment "@codex review".

If Codex has suggestions, it will comment; otherwise it will react with 👍.

Codex can also answer questions or update the PR. Try commenting "@codex address that feedback".