Add missing publish integration staging script to Helpscout integration

[spastorelli]

The integration wasn't being published to staging. Also bumps the changeset for the integration to trigger a publish integration so that the target in prod reflects the target set in the manifest on the repo.

[changeset-bot[bot]]

🦋 Changeset detected

Latest commit: 4d0478bde2485c70d802ee871309e22cfd3f5e60

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 1 package

Name	Type
@gitbook/integration-helpscout	Patch

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[pkg-pr-new[bot]]

Open in StackBlitz

bun add https://pkg.pr.new/GitbookIO/integrations/@gitbook/api@826

commit: 4d0478b