In a large bowl, combine the flour, yeast, sugar, and salt. Add the lukewarm water and olive oil, then knead until a smooth, elastic dough forms. Cover and let rise for 1 hour.
Divide the risen dough into two equal portions. Roll each portion into a thin circle, leaving a 2-3 cm (approximately 1 inch) border around the edge for the cheese filling.
Place the grated cheese around the edge of the dough. Fold the edge over the cheese, pressing gently to seal and create a stuffed crust.
Spread the tomato sauce over the pizza base and top with sliced mozzarella cheese.
Preheat your oven to 480°F (250°C). Bake the pizza for 12-15 minutes, or until the crust is golden brown and the cheese is melted and bubbly.
Before serving, garnish the pizza with fresh basil leaves and drizzle with a little olive oil.
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