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Prepare the Apple Mixture:
- Melt butter in a medium skillet over medium heat.
- Add chopped apple, brown sugar, cinnamon, and ground hazelnuts.
- Cook, stirring frequently, until apples are tender and mixture is caramelized (5-7 minutes).
- Stir in vanilla extract and cook for 1-2 more minutes.
- Remove from heat and let cool.
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Assemble the Cake:
- In a 9×13 inch baking dish, layer graham crackers, breaking as needed.
- Spread a layer of cooled apple mixture over the graham crackers.
- Repeat the layers, ending with a layer of graham crackers.
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Garnish and Chill:
- Drizzle melted butter over the top layer of graham crackers.
- Optionally, sprinkle with chopped nuts or caramel pieces.
- Cover and refrigerate for at least 2 hours or overnight.
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Serve:
- Slice and enjoy chilled.