I caught some time on my Singapore trip so I could answer this on my phone! so forgive me if it’s a bit scattershot.
by the time the story itself takes place, people have had some time to get used to the idea of a founding father hanging around New York fighting people, so it stands to reason he would’ve found work at some point. still, at first it wasn’t widely known that Alexander had started working at N&M, so the poor soul who walked in first right after the guy was hired probably nearly had a heart attack.
and word has a tendency to spread in Hell’s Kitchen, so N&M experienced a brief boom in popularity, during which a fuckload of clients specifically requested that Hamilton handle their cases. said clients v quickly found out that the musical was not exaggerating when it came to his, er, verbose tendencies.