It appeared that new releases aren't automatically run in the Actions workflows. Moreover, when the release action is run, the workflow still doesn't automatically publish the new version to npm
I'm not too familiar with publishing to npm, but I read that Github Actions can be set up as Trusted publisher which then takes care of the authentication/authorization for publishing. It could be worthwhile to investigate if this can be set up, such that each release in GitHub matches up with a version in npm.