A person who writes or "builds" a play?*1 pointPlaywritePlaywrightScreenwriterAuthor

The correct term for a person who writes or "builds" a play is Playwright.

A playwright is specifically focused on crafting the script for theatrical productions, including dialogue and stage directions that guide actors and directors in bringing a story to life on stage. The role of a playwright is crucial in the world of theater, as they are responsible for developing characters, plots, and themes that resonate with audiences. Other terms like "screenwriter" refer to those who write scripts for film or television, while "author" is a broader term that encompasses writers of any written work, including novels and non-fiction. Therefore, in the context of writing plays, "playwright" is the most accurate choice.