Is buddy not buddy a coming of age story

This is a coming of age story involving identity. Bud isn’t simply searching for a better life, he’s searching for what is likely the last bit of flesh and blood he has in the world, and upon finding Herman E. Calloway’s band, he finds a larger family then he ever could have hoped for. He finds a place with the band members, an identity, and that is as powerful as blood relation ever could be.