In the majority of organizations, being “busy” is systemic, and often for perverse reasons. Being visibly busy is often seen as or at least equated to hard work, real work, important work.
But too often this spinning motion is mistaken for progress.
Believe me, it’s not.
Have a list of your top priorities. If what you’re being ask to do isn’t on it, then don’t do it, or alternatively suggest how people can move ahead without you.