What is the importance of the Fletcher Correctional facility in the novel, Hag-Seed?

Fletcher Correctional is the location where Felix licks his wounds over what happened at the theatre festival as well as where he eventually conducts his revenge against Tony. It is one of the equivalents of the enchanted island in The Tempest. Fletcher Correctional is a place where Felix gets back to basics with his artistic approach, in contrast to his excessive and bizarre productions at the theatre festival. He returns from his time at the prison a more humble and gracious person.