chore: run deployment after release

[larsrickert]

Description

Run the deployments after the release because we import e.g. package versions (or changelogs in the future) so we need to make sure to deploy after the release has updated the version/changelog.

Checklist

• The added / edited code has been documented with JSDoc
• All changes are documented in the documentation app (folder apps/docs)
• If a new component is added, at least one Playwright screenshot test is added
• A changeset is added with npx changeset add if your changes should be released as npm package (because they affect the library usage)

[changeset-bot]

⚠️ No Changeset found

Latest commit: e669af3

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.

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