HCM Extracts - Manager and Manager's Manager data (Manager Hierarchy)

Summary:

I would like to add two fields to an existing extract to display the Manager's name and the Manager's Manager' name

Content (required):

I'm trying to modify an existing extract and I would like to add

-Line Manager

-Line Manager's Manager

I used the User Entity - PER_EXT_MANAGER_DETAILS_UE to get the manager info.

How do I get the Manager's Manager info? Is it possible to use the same UE to get that info?

I also came across PER_EXT_PERSON_MANAGERS_HIERARCHY_UE that gives the manager hierarchy info. 

In my case I need both the manager records in the same row. Not sure if the above can be used to achieve this scenario