In the current workflow, Team 1 shares a Package in 'Design Collaboration Swimlanes' & it creates a copy of the file/package in 'Project Files<Shared' folder. Team 2 consumes the package & the file gets copied in 'Project Files<Team 2<Consumed<Team 1' folder.
The project managers can actually just work directly in 'Project Files'. The only useful function of 'Plans' is OCR.
Why don't you consider giving a specific function to each area so that only one workflow is possible. Function of Plans folder should be 'A place where you share, explore, review & consume' packages. It is the Outgoing/ Shared/ Published Folder in BS 1192 terms.
Function of 'Project Files' is to store everything & process it. So it is the 'Incoming' & 'WIP' Area.
It would be even better if you had 3 folders - Incoming, WIP, Outgoing.