Directions
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Preheat oven to 250°F. Sprinkle steak with salt and 1 teaspoon of the pepper. Place steak on a wire rack set inside a rimmed baking sheet. Bake in preheated oven until a thermometer inserted in thickest portion of meat registers 115°F for medium-rare (the steak will cook more when it is finished in the skillet), about 35 minutes.
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Meanwhile, place butter, shallot, thyme, and remaining 4 teaspoons pepper in a small bowl; fold mixture together using a spatula until thoroughly combined. Cover and chill the compound butter for about 30 minutes, or store in an airtight container in refrigerator for up to 1 week.
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Heat oil in a 12-inch cast-iron skillet over high until oil shimmers and just begins to smoke. Add steak; cook until golden brown, 1 minute per side. Transfer steak to a cutting board.
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Remove skillet from heat, add wine to skillet, and let mixture reduce, stirring constantly, until reduced by half, about 15 seconds. Add broth. Return skillet to heat over medium-high and bring to a simmer. Simmer, stirring constantly, until reduced by half, about 2 minutes. Remove from heat. Add 2 tablespoons compound butter and whisk until butter has melted and sauce emulsifies. Season with additional salt to taste.
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Slice steak into 1/4-inch-thick pieces and divide between two plates. Spoon pan sauce over steak and serve.
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