Identify the Group of a user from Power Automate

We have a Power Automate flow that runs and post-processes agreements after they are fully executed in Adobe Sign, which essentially boils down to saving them back into SharePoint in an appropriate location.

For various reasons, it would be extremely useful for this workflow to be able to know which Adobe Sign group the sender of an agreement is in (since we want the behaviour of the workflow to change depending on the user's group).  

The info that is passed to Power Automate in the trigger includes "senderEmail", but doesn't include any other information about the sender - specifically we want to know what that sender's group was.  There doesn't appear to be a "GetUserInfo" action that could fill this gap either.

Can Adobe please consider adding in this group info into the data passed with this trigger, and/or add another action to query and return info about a given user that includes the group info?