Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Peel the Yukon Gold potato and cut into 1-inch cubes. Place in a saucepan, cover with water, and bring to a boil. Simmer for 12-15 minutes until fork-tender.
Pat the chicken breast dry with a paper towel. Rub with extra virgin olive oil and season evenly with dried thyme, half of the sea salt, and half of the black pepper.
Place the chicken on the prepared baking sheet and roast for 18-22 minutes, or until the internal temperature reaches 165°F (74°C).
While the chicken roasts, trim the green beans and steam them in a steamer basket over boiling water for 5-6 minutes until vibrant and tender-crisp.
Finely mince the garlic cloves while the potatoes finish cooking.
Drain the cooked potatoes and return them to the warm pot. Add the ghee, minced garlic, remaining sea salt, and remaining black pepper.
Mash the potatoes thoroughly until the texture is velvety and smooth.
Remove the chicken from the oven and let it rest for 5 minutes before slicing.
Serve the sliced chicken over the garlic mashed potatoes with the steamed green beans on the side.