Activate the yeast: In a large bowl, combine the warm water, yeast, olive oil, honey, and salt. Stir gently to dissolve the yeast and honey. Let the mixture stand for 5-10 minutes until foamy.
Incorporate the flour: Gradually add the flour to the yeast mixture, stirring with a wooden spoon until a shaggy dough forms. Turn the dough out onto a lightly floured surface and knead for 5-7 minutes until smooth and elastic.
Rise and rest: Place the dough in a lightly oiled bowl, cover with plastic wrap, and let rise in a warm place for 1-2 hours until doubled in size.
Divide and shape: Punch down the dough to release the air. Divide the dough into 4 equal portions. On a lightly floured surface, roll each portion into a 12-inch circle.
Fill and seal: Spread a quarter of the pizza sauce over half of each dough circle. Top with mozzarella cheese, pepperoni, mushrooms, onions, olives, and oregano. Fold the dough over the filling, forming a half-moon shape. Crimp the edges tightly to seal the calzone.
Egg wash and bake: Preheat the oven to 400°F (200°C). In a small bowl, whisk together 1 egg and 1 tablespoon of water. Brush the egg wash over the calzones. Bake for 15-20 minutes until golden brown and the cheese is melted and bubbly.
Rest and serve: Let the calzones rest for 5 minutes before slicing and serving. Enjoy the warm, gooey goodness of homemade calzone dough!