[fix] CI to publish to GitHub Next Packages fails due to authentication issue

[brandonlenz]

ReactUSWDS Version & USWDS Version

N/A

Describe the bug

For quite some time, our packages have not been getting published to GitHub Packages:

https://github.com/orgs/trussworks/packages/npm/package/react-uswds

The workflow responsible for this is here: https://github.com/trussworks/react-uswds/actions/workflows/publish-next.yml

The failed jobs indicate attempts to publish that fail due to ➤ YN0033: No authentication configured for request

The successful jobs just skip the publish step due to YN0000: Registry already knows about version <X.X.X>; skipping.

So this workflow is not publishing at all anymore.

Expected behavior

Merges to main should publish to GitHub packages successfully.

Screenshots

Additional context

Without having found confirmation, it looks like the GITHUB_TOKEN we were using to is no longer valid for publishing. Instead, GitHub says:

GitHub Packages only supports authentication using a personal access token (classic).

At one point, this was working, so I can only assume this was a GitHub security change.

Device and Browser Information (please complete the following information if describing a UI bug)

N/A

[brandonlenz]

Make sure to update releasing.md and, in particular, prerelease.md about how this works if/when fixed.