chore: Update CI for release-please compatibility and logo source

[alsmith151]

This pull request introduces updates to the GitHub Actions workflow and improves the image reference in the project documentation. The workflow changes enhance release automation, while the documentation change ensures the project logo displays correctly.

GitHub Actions workflow improvements:

• .github/workflows/publish.yml: Added support for triggering the workflow on GitHub Releases (release: types: [published]) and manual dispatches (workflow_dispatch), making publishing more flexible and automatable.

Documentation update:

• README.md: Updated the logo image source to use an absolute URL, ensuring the logo displays correctly regardless of where the README is viewed.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 79.37%. Comparing base (bcac49a) to head (af9e75e).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main      #39   +/-   ##
=======================================
  Coverage   79.37%   79.37%           
=======================================
  Files          42       42           
  Lines        5589     5589           
=======================================
  Hits         4436     4436           
  Misses       1153     1153           

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