Hello, I am encountering the same issue that you reported here. Currently, I am able to sync activities from AEM author to the Target workspace (*_author). However, when it comes to publishing, the activities are not being synced with Target.
Could you please let me know what was done to fix your issue? Do we need to add any users to a Target-specific group or grant any permissions related to replication? Thank you!
https://experienceleaguecommunities.adobe.com/t5/adobe-target-questions/publish-activity-is-not-bein...
@Umesh_Thakur