Pat the steak dry, season generously with salt and pepper on both sides, and let it come to room temperature.
Peel and cut the potato into evenly sized chunks. Place them in a pot of salted water and bring to a boil. Cook until tender, about 15 minutes.
Meanwhile, mince the garlic cloves.
In a small saucepan, heat the milk with half of the minced garlic over low heat to infuse the flavor.
Drain the potatoes and return them to the pot. Mash with a potato masher, then stir in the warm garlic-infused milk. Season with salt and pepper. Adjust consistency with a bit more milk if needed.
Heat a skillet over medium-high heat. Add a small drizzle of olive oil. Once the oil is shimmering, add the steak and sear each side for about 3-4 minutes (depending on thickness) for medium-rare, or adjust timing for desired doneness. In the last minute of cooking, drizzle the teaspoon of honey over the steak to create a subtle glaze.
While the steak rests for a few minutes, steam or lightly sauté the green beans in a separate pan with a dash of olive oil, salt, and the remaining minced garlic until they are bright green and tender-crisp, about 4-5 minutes.
Slice the steak against the grain and arrange on a plate alongside a serving of creamy garlic mashed potatoes and green beans. Enjoy your balanced and flavorful dinner.