How to Add a new Role to Multiple Existing Products

I am creating a new Role which I need to add to about 350 existing Products in my Windchill installation.

It appears that my only option is to add that Role to each Product Team one Product at a time.

And, or course, then I will need to add Members to that Role in each Product..., which also appears to be a "one Product at a time" ordeal.

Has anyone discovered a method to add a new Role to MULTIPLE existing Product Teams all at once?

Likewise with adding adding Members to that Role all at once across all the existing Product Teams.

Note: For future Products, I am creating a new Product Template which will contain the new Role..., but adding the new Role to existing Products Teams quickly is a problem.

Thanks in advance.