01 - Remove steaks from the refrigerator 30 minutes before cooking to bring to room temperature. Pat dry and season generously with salt and pepper on both sides.
02 - Heat olive oil and 1 tbsp 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 (adjust 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 shallot and cook for 1 minute until softened.
05 - Add crushed peppercorns and stir for 30 seconds to release aroma.
06 - Carefully pour in brandy, scraping up any browned bits. Let it 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.
08 - Stir in remaining 1 tbsp butter and 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.