[Bug] Fix CD actions to use working authentication

[JonahPlusPlus]

Describe the bug

The deployment action failed for the wrong reason. It complained

Steps to reproduce the behavior

Create new release for deployment.

Expected behavior

Successful publishing to NPM or error if package version was already published.

Screenshots and/or logs

https://github.com/storybookjs/solidjs/actions/runs/11638979950

➤ YN0033: No authentication configured for request

Additional context

Solve by fixing authentication for yarn publishing, go back to npm, or remove CD altogether.