In a large bowl, sift the flour, then add the dry yeast, salt, and sugar. Mix well.
Pour in the lukewarm water and olive oil. Knead until you have a smooth, elastic dough. Cover and let rise for 1 hour.
Halve the avocado, remove the pit, scoop out the flesh, and mash with a fork. Stir in the fresh lime juice to prevent browning.
Divide the risen dough into two equal portions. On a lightly floured surface, roll each portion into a circle.
Spread tomato sauce over half of each dough circle. Top with avocado mixture, shredded mozzarella, and cheddar cheese.
Sprinkle with oregano, basil, and a pinch of black pepper.
Fold the other half of the dough over the filling. Press the edges together to seal.
Brush the top with beaten egg and prick a few holes with a fork to allow steam to escape during baking.
Bake in a preheated oven at 400°F (200°C) until golden brown, about 20 minutes.
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