Update package publishing in CI

[tysky]

Consider replacing the current workflow of package publishing with another one triggered by creating a new release in GitHub.
Example of the workflow:
https://github.com/actions/starter-workflows/blob/4238ac653e5124c1e1f118cc0b0bd428b8973953/ci/npm-publish.yml

[elenik72]

Good decision. Worth trying. And remove the custom action at the same time) Cool 😎