Delete Publish Release (#765)

## Summary

As we will be publishing from platform for now, delete this workflow
from chronon.

## Checklist
- [ ] Added Unit Tests
- [ ] Covered by existing CI
- [ ] Integration tested
- [ ] Documentation update



<!-- This is an auto-generated comment: release notes by coderabbit.ai
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## Summary by CodeRabbit

- **Chores**
- Removed the automated release publishing workflow, including all
related build, validation, artifact promotion, and cleanup steps.

<!-- end of auto-generated comment: release notes by coderabbit.ai -->

Author: chewy-zlai