> someone who needs an ai to manage inbox, calendar and scheduling tasks
A secretary. The word you're looking for is "secretary". Having a secretary has always been the preferred way to handle these tasks for the wealthy and powerful. The president doesn't schedule his own meetings and manage his own Outlook calendar, a president/CEO/etc has better things to do.
People just created calendar/email/etc software (like Microsoft Outlook) to let us do it ourselves, because secretaries are $$$$. But let's be real, the ideal situation is having a perfect secretary to handle this crap. That's the point of using AI here: to have an AI secretary.
Managing your own calendar would become extremely 2010 coded, if AI secretaries become a thing. It'd be like how "rewinding your VCR tape" is 1990s coded.