Adds eligibility, blocker, and update-parameter helpers that let App Intents publish or schedule server-synced posts. Posts with unsaved local edits, pages, local-only posts, and posts the user's role cannot publish are refused up front, using the same capability check and nil-capabilities allowance as the in-app publish affordances, rather than surfacing a raw server rejection after confirmation. Publishing a previously scheduled post moves its date to now through a RemotePostUpdateParameters helper shared with PostCoordinator.save, covering the private-publish case the earlier inline copies missed. The publishable status list is shared between the eligibility check and the fetch predicate.

A save that skips the UIKit flow used to skip the coordinator's non-UI side effects too: the dashboard notifications that refresh the posts cards, the app-rating significant event, and the post-save error analytics. The dormant didPublish helper now owns the success block so non-UI callers can emit them, leaving only the alert and notice UI in the UIKit path. The not-found cleanup from the in-app alert flow is shared so a post permanently deleted on the server no longer survives as a local ghost, and it now also removes the post's Spotlight entry, which was previously leaked. The scheduled-post publish date coercion moves to the shared RemotePostUpdateParameters helper.

The publish and schedule intents confirm before saving, revalidate eligibility after confirmation, and surface the resulting server state or error. They share the existing PostCoordinator side effects and expose English Siri phrases directly from their App Shortcut declarations. The existing Publish Date translation is reused; the remaining new strings use English defaults.