ci: remove publish.yml as this is handled by semantic release

[rsdmike]

PR Checklist

• Unit Tests have been added for new changes
• API tests have been updated if applicable
• All commented code has been removed
• If you've added a dependency, you've ensured license is compatible with Apache 2.0 and clearly outlined the added dependency.

What are you changing?

Anything the reviewer should know when reviewing this PR?

If the there are associated PRs in other repositories, please link them here (i.e. device-management-toolkit/repo#365 )

[Copilot]

Pull Request Overview

This PR removes the manual NPM package publishing workflow as it's now automated through semantic release. This eliminates the need for manual release management and ensures consistent, automated publishing.

• Removes the entire .github/workflows/publish.yml file
• Transitions from manual to automated release management via semantic release

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[RosieAMT]

🎉 This PR is included in version 3.3.5 🎉

The release is available on:

• npm package (@latest dist-tag)
• GitHub release

Your semantic-release bot 📦🚀