By "run" I just meant that he'd appear in the set of people that might be considered (by Biden) if for any reason it turns out he wants Harris replaced.
Then go up to my first reply. Newsom isn't going to run for a position he has a 0% chance of winning and will piss people off trying. He probably wants a cabinet position.
I guess it would have the benefit of giving him exposure, and I'm not sure if there's a better cabinet position otherwise, but does being secretary of state actually help with making a case for people to like him for presidency? How much of the credit does he get if things go well vs. the blame if things go poorly?