Something slightly odd happens once your inbox is connected to AI: you can start dealing with email without spending much time in the email app.
Ask what actually needs your attention. Ask for anything from a particular client. Ask what you have not replied to. Then open the important message, draft or dictate the reply and move on.
Add voice into the mix and it gets stranger. Ask what matters, read the email, speak the answer, send it. You can clear a surprising amount without staring at Gmail or Outlook.
The useful bit is not getting AI to write grander emails. It is removing some of the interface between you and the work. Email is still there. You just spend less time clicking around inside it.