01 - Remove steaks from the refrigerator 30 minutes before cooking to bring to room temperature. Pat dry thoroughly and season generously with salt and pepper on both sides.
02 - Heat olive oil and 1 tablespoon butter in a large skillet over medium-high heat until hot but not smoking.
03 - Sear the steaks for 3–4 minutes per side for medium-rare doneness. Adjust cooking time for desired doneness. Transfer steaks to a plate, tent loosely with foil, and let rest.
04 - Reduce heat to medium. In the same skillet, add minced shallot and cook for 1 minute until softened and fragrant.
05 - Add crushed peppercorns to the skillet and stir for 30 seconds to release their aromatic oils.
06 - Carefully pour in brandy, scraping up any browned bits from the bottom of the skillet. Let simmer for 1 minute to reduce slightly.
07 - Stir in heavy cream and Dijon mustard. Simmer for 3–4 minutes, stirring frequently, until the sauce thickens and coats the back of a spoon.
08 - Stir in remaining 1 tablespoon butter until melted and incorporated. Season with salt to taste.
09 - Return steaks and any accumulated juices to the skillet for 1 minute, spooning sauce over the top. Serve steaks hot, topped generously with peppercorn sauce.