Peel and chop the potatoes into even pieces. Place them in a saucepan with water. Add a pinch of salt. Bring to a boil and cook until soft.

Drain the cooked potatoes well. Add butter and milk. Mash until smooth and creamy. Set aside. This will be the topping for your pie.

Place a frying pan on medium heat. Add olive oil and let it warm up. This step helps cook the meat evenly and adds flavor.

Add chopped onion and diced carrots to the pan. Cook for about 5 minutes. Stir often until soft. This builds the base flavor of the filling.

Add minced garlic to the vegetables. Cook for one minute only. Stir gently so it does not burn. Garlic adds a rich aroma.

Add minced beef to the pan. Break it into small pieces. Cook until browned. Stir often so it cooks evenly and does not stick.

Stir in tomato paste. Cook for two minutes. This deepens the flavor and gives a rich color to the filling.

Add beef stock slowly while stirring. This creates a smooth sauce. Let it simmer gently for about 10 minutes.

Add Worcestershire sauce, salt and pepper. Stir well. Taste and adjust if needed. The flavor should be rich and balanced.

Add peas to the mixture. Stir gently. Cook for a few minutes. This adds sweetness and color to the dish.

Pour the meat mixture into a baking dish. Spread it evenly. Add mashed potatoes on top. Smooth with a spoon or fork.

Place the dish in a preheated oven at 180°C. Bake for about 25 minutes. The top should turn golden and slightly crispy.

Remove from the oven carefully. Let it cool for a few minutes. Serve warm and enjoy your comforting meal.