side conversation emails in tickets - enhancement?

Hi there!
 
At this time, I'm afraid that Zendesk does not offer a built-in feature to automatically mark side conversation emails as “Done” or “Closed” once they are created or sent. The “Done” status for side conversations is intended as a manual indicator for agents and does not impact tickets or recipients directly. Side conversations must be marked as “Done” by an agent after the conversation is completed.
 
We understand how automation would be helpful for your workflow and appreciate your feedback.