In a large bowl, combine the flour, salt, sugar, and dry yeast. Add the lukewarm water and olive oil, then knead into a soft, elastic dough. If it's too sticky, add a little flour; if it's too dry, add a little water.
Cover the dough and let it rise in a warm place for about 1 hour, or until doubled in size.
Meanwhile, mash the cooked chickpeas with a fork or immersion blender into a coarse puree. Add the finely chopped garlic and oregano, then mix well.
Grate the mozzarella cheese and prepare the filling.
Turn the risen dough out onto a floured surface and divide it into four equal portions. Roll each portion into a circle about 3 mm thick.
Place the chickpea filling on one half of each circle of dough and sprinkle with the grated mozzarella. Be sure to leave about 1 cm of space around the edges for folding.
Fold the dough in half to form a half-moon-shaped calzone. Press the edges firmly together, then use a fork to crimp them to prevent the calzone from opening during baking.
Brush the top of each calzone with a beaten egg to give it a golden brown color after baking.
Bake in a preheated oven at 400°F (200°C) for about 20 minutes, or until the calzone is nicely golden brown.
Let cool slightly, then serve fresh, perhaps with extra garlic dipping sauce.
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