set_visibility now gates the transition to Public: every field definition
with required=true must have a value on the object (typed inventory-minimum
columns are already NOT NULL, so only flexible required fields are checked).
Missing values yield VisibilityError::MissingRequiredFields(keys); the admin
publish endpoint maps it to 422. The gate runs in db so every caller is
protected and the check is atomic with the transition.
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>