fix(ci): pass --no-publish to cargo release bump step

[thedavidmeister]

The bump step in package-release.yaml ran cargo release without --no-publish, so it tried to publish to crates.io. CARGO_REGISTRY_TOKEN is only set on the separate Publish step further down, so the bump step failed with 'no token found, please run cargo login'.

Run 25759994597 hit this. Add --no-publish so the bump step only bumps the version + commits; the dedicated Publish step uploads with the token set.

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ℹ️ Review info

⚙️ Run configuration

Configuration used: Organization UI

Review profile: ASSERTIVE

Plan: Pro

Run ID: 0f854e3f-d833-4d0e-9728-89a0a114b328

📥 Commits

Reviewing files that changed from the base of the PR and between 8b9c65d and f3f8e83.

📒 Files selected for processing (1)

• .github/workflows/package-release.yaml

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch 2026-05-13-fix-package-release-no-publish

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