In a large bowl, combine the flour, yeast, and salt. Add the olive oil and lukewarm water, then knead until a soft, but not sticky, dough forms. If it's too dry, add a little more water.
Cover the dough with a clean kitchen towel and let it rise in a warm place for about an hour, or until doubled in size.
Dice the venison into small cubes. Heat olive oil in a skillet over medium heat and brown the meat.
Finely chop the red onion and garlic, then add them to the browned venison. Pour in the red wine and cook for 10 minutes, allowing the meat to soften and the flavors to meld.
Stir in the tomato sauce, fresh rosemary, and black pepper. Cook for another 5 minutes.
Divide the risen dough into two equal parts and roll each out into a circle about 5 mm thick.
Spoon the venison filling onto one half of each dough circle, then sprinkle with grated mozzarella and Parmesan cheese. Fold the other half over the filling and press the edges firmly to seal.
Preheat the oven to 400°F (200°C). Brush the top of each calzone with beaten egg to give it a beautiful golden brown color.
Place the calzones on a baking sheet lined with parchment paper and bake for 20-25 minutes, or until golden brown.
Let them cool for a few minutes before slicing, to prevent the filling from being too hot and runny.
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