Fix dry_run handling in publish job for scheduled runs

[blink1073]

References

Relates to https://github.com/Calysto/metakernel/actions/runs/23481934503

Description

The publish job used inputs.dry_run directly, which is undefined (empty string) for schedule events. This caused the publish job to treat dry runs as real publishes on scheduled runs.

Changes

• Expose effective dry_run as an output of the release job using the same ternary logic already used for the release step
• Add release to publish's needs so the output is accessible
• Replace all three inputs.dry_run references in publish with needs.release.outputs.dry_run

Backwards-incompatible changes

None

Testing

N/A

AI usage

• Some or all of the content of this PR was generated by AI.
• The human author has carefully reviewed this PR and run this code.
• AI tools and models used: Claude Sonnet 4.6

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 90.30%. Comparing base (84f58d7) to head (ed70029).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #421   +/-   ##
=======================================
  Coverage   90.30%   90.30%           
=======================================
  Files          51       51           
  Lines        2950     2950           
  Branches      414      414           
=======================================
  Hits         2664     2664           
  Misses        209      209           
  Partials       77       77           

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