Minerva even agrees to go to Gringotts with Sirius the week after, to help him if he gets accosted as he typically is when visiting Diagon. Along the way, they talk more about Sirius’ steps to become a healer, and Minerva’s warm approval settles something in Sirius he didn’t even know had been unsettled, as if something in him had been waiting for her to tell him it was a good idea, never mind that Remus already had.