Tell the assistant “Move it to Diary” after it creates a document, or “Move the document called Q4 plan to Diary”, and it moves the document to that team when you can edit in both. The reply links to the document in its new team.
When you belong to several teams, a reply about a new record now says which team it went in, such as “Created the document Plan in Personal.”, so a record made in the wrong team is easy to notice and move.