Change grants for a self-created global permission

Hello guys,

We are thinking about creating a new global permission in one of our Apps. For us, when installing the App, this permission should be granted to the Jira admins and we can handle this as is told in the documentation (Global Permission).

But, we want to modify this permission to be able to update automatically the old customers configurations (now we are not using a global permission to allow the things we want to allow now on with this global permission).

Is there a way to grant new groups to a global permission then?

Cheers.