Peel and cube the potatoes, then boil them in salted water until tender. Drain the potatoes, then add the butter and milk, and mash until smooth and creamy.
Heat the olive oil in a large skillet over medium heat. Sauté the diced onion, carrots, and celery until softened. Add the ground lamb and cook, breaking it up with a spoon, until browned.
Stir in the tomato paste, Worcestershire sauce, and chicken broth. Season with salt and pepper. Bring to a simmer and cook for 15-20 minutes, allowing the flavors to meld.
Stir in the green peas and cook for an additional 2-3 minutes. Remove from heat.
Evenly spread the meat mixture in the bottom of a baking dish. Top with the mashed potatoes, spreading them evenly and creating ridges with a fork.
Preheat the oven to 400°F (200°C). Bake the Shepherdâs Pie for 20-25 minutes, or until the topping is golden brown and bubbly.
Let it rest for 5-10 minutes before serving to allow for easier slicing.
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