Two IDs, sign in two apps

I think I may be asking for the moon here. But... I have two Adobe IDs, one for an enterprise work account and one for a personal photography account. Is it possible to be signed in to say, Illustrator and InDe with the work ID, and Lightroom with the personal ID?

Or is it all controlled by the Cloud Desktop App, you get one or the other? It's pretty cumbersome to have to log out of one to get to the other... Just sayin'. That would be an awesome feature to have, if not.