DM-40262: Authenticate to gh package registry in release

[jonathansick]

Since .npmrc exists in the repo, changesets/action won't replace it.
Therefore we aren't logged into the github package registry.

[changeset-bot]

⚠️ No Changeset found

Latest commit: 72f2e1d

Merging this PR will not cause a version bump for any packages. If these changes should not result in a new version, you're good to go. If these changes should result in a version bump, you need to add a changeset.

This PR includes no changesets

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