Step 1: Make the Pasta Dough

1. On a clean surface, mound the flour and create a well in the center.
2. Crack the eggs into the well and add the olive oil and salt.
3. Using a fork, whisk the eggs, gradually incorporating the flour from the edges.
4. Once the mixture forms a dough, knead it by hand for about 8-10 minutes until smooth and elastic. If the dough is too dry, add 1-2 tablespoons of water.
5. Wrap the dough in plastic wrap and let it rest for 30 minutes at room temperature.

Step 2: Prepare the Filling

1. Boil the diced potatoes in salted water for 12-15 minutes until tender. Drain well.
2. In a pan, melt 1 tablespoon of butter and sauté the minced garlic for about 1 minute until fragrant.
3. Mash the potatoes in a mixing bowl and stir in the goat cheese, sautéed garlic, salt, black pepper, and fresh dill until smooth.
4. Allow the filling to cool completely before assembling the ravioli.

Step 3: Roll Out the Pasta Dough

1. Divide the rested dough into two equal portions.
2. Roll out each portion using a pasta roller or rolling pin until the dough is about ⅛ inch thick.
3. Lightly dust the dough with flour to prevent sticking.

Step 4: Assemble the Ravioli

1. Lay one sheet of pasta on a floured surface.
2. Spoon 1 teaspoon of filling onto the dough, spacing each portion about 1 inch apart.
3. Lightly brush water around each mound of filling to help seal the ravioli.
4. Place the second sheet of pasta over the filling and press down gently, removing any air pockets.
5. Cut out individual ravioli using a ravioli cutter, knife, or a round cookie cutter. Press the edges with a fork to seal.

Step 5: Cook the Ravioli

1. Bring a large pot of salted water to a rolling boil.
2. Drop the ravioli into the water and cook for 3-4 minutes, or until they float to the surface.
3. Remove with a slotted spoon and set aside.

Step 6: Make the Garlic Dill Butter Sauce

1. In a skillet, melt the butter over medium heat.
2. Add the minced garlic and cook for about 1 minute until fragrant.
3. Stir in the fresh dill, salt, black pepper, and optional lemon zest.
4. Toss the cooked ravioli in the sauce, coating them evenly.

Step 7: Serve and Garnish

1. Plate the ravioli and drizzle with additional sauce.
2. Garnish with fresh dill, grated Parmesan, and cracked black pepper.
3. Serve immediately.