This visual execution trace shows how to add Swagger API documentation to a NestJS app. First, you import SwaggerModule and DocumentBuilder. Then you create a config with title, description, and version using DocumentBuilder and call .build() to finalize it. Next, you create a Swagger document from the app and config. After that, you set up the Swagger UI route, usually '/api', so the docs are accessible in the browser. Finally, you run the app and open the browser at '/api' to see interactive API documentation. Key points include the need to call .build() and that the app must be running to serve the docs.