fix: mark internal packages as private to fix publish pipeline

[himerus]

Summary

Problem

The Publish GitHub Action fails on every merge to main because changeset publish tries to publish @helixir/core and @helixir/github-action to npm. The @helixir scope doesn't exist on the npm registry, so both get 404 errors, and the entire publish step fails with exit code 1.

The root helixir package publishes fine (or is skipped if version is unchanged). The failure is exclusively from the two internal workspace packages.

Evidence

PR #72 merge to main (2026-03-17): P...

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Recovered automatically by Automaker post-agent hook

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ℹ️ Review info

⚙️ Run configuration

Configuration used: Path: .coderabbit.yaml

Review profile: ASSERTIVE

Plan: Pro

Run ID: 9af850f9-a97c-4746-b593-daddf9ebb33e

📥 Commits

Reviewing files that changed from the base of the PR and between e2e67b2 and e28efb3.

📒 Files selected for processing (2)

• packages/core/package.json
• packages/github-action/package.json

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch feature/fix-mark-internal-packages-as-private

📝 Coding Plan

• Generate coding plan for human review comments

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