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1
Place racks in upper and lower thirds of oven; preheat to 425u00b0F. Cut broccoli into large florets with some stalk attached. Divide between 2 rimmed baking sheets lined with parchment or foil. Drizzle each with 3 Tbsp. olive oil; season generously with salt and some pepper. Toss to combine. Roast, tossing and rotating baking sheets halfway through, until crisp around the edges and charred in spots, 35-40 minutes. Season with more salt and pepper if desired.
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2
Meanwhile, mix shallot, lime juice, and 1/2 tsp. salt in a small bowl. Set aside.
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3
Season steaks generously all over with salt and pepper, pressing to adhere. Heat a dry large skillet, preferably cast iron, over medium-high. Swirl vegetable oil in pan to coat. Pat steaks dry; cook 2 steaks, undisturbed, until undersides are browned, about 5 minutes. Turn; cook until other sides are browned and an instant-read thermometer inserted into the thickest part registers 130u00b0F for medium-rare, about 5 minutes. Turn steaks onto fat cap and cook until browned, about 3 minutes. Transfer to a cutting board and let rest 10 minutes. Wipe out skillet, leaving just enough fat to coat pan. Repeat with remaining steak.
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4
Mix cilantro, capers, jalapeno, and remaining 3/4 cup olive oil into reserved shallot mixture. Reserve 1 steak and 1/4 cup cilantro salsa verde for making the Steak Sandwiches another night. Thinly slice remaining steaks against the grain. Top with salsa verde and serve with broccoli.
