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Season the steak with a generous amount of salt and pepper on both sides and allow to sit at room temperature for 20 minutes.
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Meanwhile, prepare the salad by combining the lettuce, I like the butter lettuce and radicchio bag at Trader Joe's, in a large bowl with the tomatoes, walnuts, a pinch of salt, and a couple cracks of pepper. In another bowl, make the dressing by adding the lemon juice, vinegar, horseradish, mustard, monk fruit, ¼ teaspoon salt, and a few cracks of pepper. Whisk well and then slowly add the olive oil while whisking very well. The dressing should thicken up after all the oil is added, now id the time to check to seasoning. You may need more monk fruit, horseradish, or olive oil if the dressing is too acidic, it's entirely up to your preference. Wait to toss the salad with the dressing until ready to eat.
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To cook the steak, pre-heat a cast iron pan over medium-high heat for 3 minutes. Add 1 tablespoon of avocado oil, wait 30 seconds for it heat up, and add the steak. Let it cook for 2 minutes, flip the steak and cook 2 minutes more. Lower the heat to medium-low, flip the steak again, and add the butter and garlic to the pan. Tilt the pan so the butter pools up and use a spoon to baste the steak continually for 1 minute. Check if the steak is done to your liking, if not, flip and cook 1 more minute continually basting the steak and adding more butter if necessary.
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Remove steak from pan and let rest under foil for 5 minutes so the juices can re-distribute. Toss the salad with just enough dressing to coat, slice the steak against the grain, and enjoy!