I am not sure I follow what you are explaining. The approval process runs a ticket in series where I need to run tickets in parallel.
This would be such an easy process except for the beiggest glaring hole in WHD of not relating tickets and copying request details between them at creation.
I wonder if employing the REST API would fulfill this need.
Another option would be to see if a single email could generate 3 tickets. Then I would at least have the request details in three tickets, but not relationship between them.