Position Cost Center in Worker Assignment

Is there any possibility to show the position cost center from Budget Details Section on assignment level?

Field stems from > Manage Positions > Position Details > Budget Details

Using table validated assignment DFF also does not work as it results in unsynced data if position Cost Center Changes on Position level while Assignment remains unchanged.

We had the idea to Create Position DFF that is being defaulted and subsequently synced with assignment DFF.
Though: Autocomplete Rule with Position DFF does not work as in flows, the budget details section appears after Position Details that holds DFFs.