Short Stories

Short Stories is a side quest in Fallout 4.

Detailed walkthrough
Speak to Katy and she will request that the Sole Survivor tell the children a story about the Commonwealth. Wait for the next class to start (around 9AM) if one is not already in session. When the class starts, speak to Katy again and the option to tell a story is available. (If asked, Katy will advise to stay away from overly-violent topics; however, it does not change the quest outcome.)

Instantly, one of the children will ask if the player character has ever fought a deathclaw. Either tell the truth about the deathclaw in Concord, say it was fought it off with three shots from a pistol, or redirect the conversation elsewhere.

At the end of the story, the children will thank the Sole Survivor, and Katy will give the player character a Grognak the Barbarian comic as a form of gratitude.

Bugs

 * This quest will become stuck if you have failed the Hole in the Wall quest.
 * On PC, it can be forced to progress by using the console command.
 * This quest will sometimes be stuck if you try to talk to Katy while she is sitting down. Type followed by  and you should be able to proceed with the quest. You can also be locked out of the quest, if Katy wants to talk to you by herself to start the quest, but walks away during the conversation. The resetquest / setstage fix mentioned before works perfectly.
 * The first objective to this quest is bugged and will not be marked as complete, even if the quest is successfully finished. This makes the second objective impossible to obtain without console commands.
 * On PC, this can be remedied by opening the console after agreeing to talk to the kids and typing to complete the first objective.
 * When finishing the quest, it will sometimes pause dialogue when switching from Katy telling the kids to say "Thank you" and when the kids will say thank you. To fix this, move the mouse until you are not in the conversation and rejoin. It might not work at first.

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