Let the beef steak sit at room temperature for 20-30 minutes to ensure even cooking.
Brush the steak with olive oil, then season generously with coarse sea salt and freshly ground black pepper on both sides.
Heat a skillet or grill pan over medium-high heat. Sear the steak for 3-5 minutes per side, depending on your desired level of doneness (rare, medium, or well-done).
Add the rosemary sprigs and crushed garlic cloves to the pan. Melt the butter and baste the steak continuously with the mixture while searing for extra flavor and moisture.
Once the steak is cooked to your liking, remove it from the pan and let it rest for 5-10 minutes before slicing. This allows the juices to redistribute, resulting in a more tender and flavorful steak.
Serve the steak with a fresh salad, roasted potatoes, or steamed vegetables. Season with additional pepper or salt to taste.
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