A published version of a musical theatre song is usually a reduction from an orchestrated version, so there's a desire to include the main lines of the various instruments even if the reduction can't quite be played on piano.
Another aspect of piano versions of musical theatre songs is that there's a lot of expectation on the player/accompanist to make it work and have the elements that are most important for the singers, dancers, and audience.
The piano versions of musical theatre scores aren't written to be played precisely the way classical piano music is. I've been told by a broadway MD and accompanist once that for a big arpeggio, just to put the root note down and write "big arpeggio" and the pianist will understand and make it happen.
Point being, merely omit the note(s) that you think are least important and hardest to play.