Other parts in the musical will also be cast for the Broadway, touring, and international productions.
The entertainment-industry heavy hitters will receive distinctions for their work in the media.
The short-lived revival is soon to play its final performance.
Terrence McNally's comedy is the first of play of the season to reach this financial landmark.
Bryce Pinkham will take a temporary leave of absence to appear in The Heidi Chronicles.
The new musical begins performances in March at the Broadway Theatre.
Colella plays Anne in the musical at the Richard Rodgers Theatre.
The Public Theater coproduction names the stars of its Cambridge mounting.
Wright joins the previously announced E. Faye Butler.
Kate Benson's drama plays New York City Center Stage II.