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Solution to the Puzzle
If you're still stuck on the puzzle in the drawer....
The clue on the wall and the paper airplane book tells you that the dashed line means "mountain" and the dotted line means "valley". The paper in the printer has 6 lines matching the 6 columns in the puzzle. For the columns marked "mountain", leave the slider up. For the columns marked "valley", click the slider to push it down. Now read the 11 digits out of the little windows, following the back and forth pattern shown by the snake on the paper in the printer. This gives the number 28174609484. Enter this into the box on the shelf and click the red button. You should be able to take it from there.
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