01 - Pat both steaks thoroughly dry with paper towels. Generously season both sides of each steak with salt and freshly ground black pepper, pressing seasoning into the meat.
02 - Combine olive oil and butter in a large skillet over medium-high heat. Allow butter to melt and oil to shimmer, ensuring the pan is thoroughly hot before adding meat.
03 - Place steaks carefully in the hot skillet. Sear for 2 to 3 minutes per side for medium-rare doneness. Adjust timing according to preferred doneness. Transfer steaks to a clean plate and tent loosely with aluminum foil to rest.
04 - In the same skillet, add sliced mushrooms. Sauté for 3 to 4 minutes until golden brown, stirring occasionally. Add minced shallots and garlic; cook for 1 additional minute until fragrant, being careful not to burn the garlic.
05 - Carefully pour brandy or cognac into the skillet. If desired and using proper safety precautions, ignite with a long lighter to flambé. Allow flames to subside naturally. Let the liquid reduce by half for 1 to 2 minutes.
06 - Stir in heavy cream, Dijon mustard, Worcestershire sauce, and fresh lemon juice. Reduce heat to medium and simmer for 2 to 3 minutes, stirring frequently, until sauce thickens and coats the back of a spoon.
07 - Return steaks and any accumulated juices from the plate to the skillet. Spoon sauce generously over the steaks. Simmer for 1 minute to rewarm the meat through. Sprinkle with chopped fresh parsley and serve immediately.