The event from the story that is part of the falling action is: The narrator sees her first article printed in the newspaper.
What is the falling action
In a narrative structure, the falling action follows the climax and involves the resolution of the conflict or tensions built up throughout the story.
In this case, the narrator seeing her first article printed in the newspaper represents a resolution or culmination of the challenges and uncertainties experienced earlier on the first day of the job.
This event signifies a moment of achievement or closure in the narrative arc.