a play with no script is called improv.
It is the play's script.
script
script
A written version of a play that is created by the playwright is called a script. A script is also the term that is used when referring to a film or television show.
In films, the final draft of a screenplay is called the "shooting script." The equivalent for a play could be the rehearsal script.
A play written down is called a script.
Hamlet.
the script.
acts
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script