CHICAGO — The smash hit Goodman Theatre production of “Good Night, Oscar” is headed to Broadway in the spring with most of its original Chicago cast — including its acclaimed star, Sean Hayes, likely to be a formidable contender in the upcoming awards season. Doug Wright’s play with music, an exploration of the pianist, actor and raconteur Oscar Levant, is slated to begin performances at the Belasco Theatre on Broadway on April 7, 2023, with an opening night of April 24. The show is being billed as a limited engagement through Aug. 27, although so short a run would appear likely to be extended…