Using PATH in the same table for multiple and unknown amount of hierarchies

Hi,
in a report I´m buiding I have multiple alternate hierarchies that I need to switch between. I have now created multiple tables that each have the parent, child and hierarchy name columns. I have used this DAX Patterns to guide me.
https://www.daxpatterns.com/parent-child-hierarchies/

I have then used UNION to combine all of these into one big table and I´m using SWITCH and slicer on the report which measure and hierarchy I want to show. It seems to work perfectly.

However, I need to prepare for additional hierarchies. My first obstacle is to create a DAX formula that would create the PATH for each of the hierarchies present in the table, there may be unknown number of hierarchies.

Is there a way to do this with just a single added column?

EDIT: I know I´m might hit other obstacles as well and I need to modify my existing solution a lot but I´d like to get the PATH part sorted for now 🙂