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Preheat the oven to 350 degrees F. Line a baking sheet with parchment paper.
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Season filet steaks with kosher salt and freshly ground black pepper. Set aside.
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In a separate bowl, place the chestnuts, breadcrumbs, thyme, and butter.
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Use your hands or a wooden spoon to mix everything together until thoroughly combined.
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Season with kosher salt and freshly ground black pepper to taste. Set aside.
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Heat the oil in a large skillet. Sear the filet steaks on both sides and transfer to the baking sheets.
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Evenly distribute the chestnut streusel on top of each filet steak.
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Place in the oven and bake for 20-25 minutes depending on rare or well-done meat preference.
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Remove from oven, transfer to plates or a serving platter.
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Let meat rest for 5 minutes before serving.