I created a test team and a project there, so I’m able to see the option to move it to a different team.
(Instructions for doing so are here, as reference: https://asana.com/guide/help/projects/actions#gl-move-projects)
I’ve been made the owner of a template (in another team, I suppose), but I’d like to move it to a separate team. However, that option doesn’t exist in the menu, i.e. Right after the option of ‘Add Tasks via’ is ‘Export/Print’.
Related question: How would I view what team a specific project/template exists in?