Final answer:
The property that needs to be set to allow minor edits to published Articles when Knowledge Article Versioning is enabled is the Edit Articles Minor Version permission.
Step-by-step explanation:
The property that needs to be set to allow minor edits to published Articles when Knowledge Article Versioning is enabled is the Edit Articles Minor Version permission.
This permission allows users to edit the minor versions of the articles, but not the major versions.
When a minor version is edited, it will be saved as a new minor version, keeping the previous minor and major versions intact.
By granting this permission, organizations can ensure that only minor changes are made to published articles while maintaining a version history for auditing purposes.