Remove the beef entrecote from the refrigerator 20 minutes before cooking to reach room temperature and pat thoroughly dry with paper towels.
Season both sides of the steak evenly with the sea salt and black pepper.
Heat the avocado oil in a cast-iron skillet over medium-high heat until it begins to shimmer.
Carefully place the steak in the hot skillet and sear without moving for 3 to 4 minutes to develop a deep golden crust.
Flip the steak and cook for an additional 3 minutes for medium-rare doneness.
While the steak sears, steam the asparagus spears for 4 to 5 minutes until they are bright green and crisp-tender.
Reduce the skillet heat to medium-low and add the ghee, minced garlic, rosemary, and thyme to the pan.
Tilt the skillet slightly and use a large spoon to continuously baste the steak with the melting herb butter for 1 minute.
Transfer the steak to a cutting board and let it rest for 5 minutes to allow the juices to redistribute.
Slice the beef against the grain and serve alongside the steamed asparagus, drizzling any remaining herb butter from the pan over the top.