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