Avatar for System Admin user

I have encouraged Gainsight users to add a profile image for their avatar in Gainsight. These avatars appear throughout the Gainsight UI, in particular they appear on the Timeline.

I use rules to update milestones on the Timeline. These updates come from an automation and are posted as System Administrator. There’s no config options for this “user”. 

I would like the ability to be able to customise the avatar for this user. 

Currently the avatar is blank. I could imagine some admins may want to use a company favicon or something that also helps identify it as an System Administrator updated activity.