Heat the pan: Place a large cast iron skillet over medium heat. Add the olive oil and 2 tablespoons of ghee or butter to the pan.
Cook the potatoes: Once the ghee is melted, add the potatoes to the skillet. Sprinkle with minced garlic, dried thyme, oregano, salt, and pepper. Cook for 2-3 minutes before stirring. Continue cooking, stirring every 1-2 minutes, until the potatoes are golden brown and fork-tender, about 8-10 minutes.
Note: If the potatoes are crowded or cut larger, they will take longer to cook.
Remove the potatoes from the pan, along with any browned bits, and set aside.
Sear the steak: Increase heat to medium-high and add the remaining 2 tablespoons of ghee to the pan. Once melted, add the steak cubes. Season with a dash of salt and pepper.
Let the steak cook undisturbed for at least 2 minutes to develop a good sear.
Stir and cook for an additional 1-2 minutes, until golden brown and cooked to your desired doneness.
Combine: Return the cooked potatoes to the pan and stir to combine with the steak bites. Taste and adjust with additional salt and pepper if needed.
Garnish and serve: Sprinkle with freshly chopped parsley and serve immediately.