fix: web/static-site workflow fix & update to enforce publish with source

[eriqua]

Description

• Update template to enforce publish with source
• Fix bug in workflow trigger

Pipeline Reference

Pipeline

Type of Change

• Update to CI Environment or utlities (Non-module effecting changes)
• Azure Verified Module updates:
  • Bugfix containing backwards compatible bug fixes, and I have NOT bumped the MAJOR or MINOR version in version.json:
    • Someone has opened a bug report issue, and I have included "Closes #{bug_report_issue_number}" in the PR description.
    • The bug was found by the module author, and no one has opened an issue to report it yet.
  • Feature update backwards compatible feature updates, and I have bumped the MINOR version in version.json.
  • Breaking changes and I have bumped the MAJOR version in version.json.
  • Update to documentation

Checklist

• I'm sure there are no other open Pull Requests for the same update/change
• I have run Set-AVMModule locally to generate the supporting module files.
• My corresponding pipelines / checks run clean and green without any errors or warnings