Preheat the oven: Set your oven to 400°F (200°C). Line a large baking sheet with parchment paper.
Roll the dough: On a lightly floured surface, stretch or roll your dough into a large rectangle, about 10 by 14 inches.
Add the sauce: Spread a thin layer of pizza sauce over the dough, leaving a 1-inch border around all the edges.
Layer the fillings: Sprinkle half of the mozzarella and Parmesan over the sauce. Evenly layer the pepperoni, salami, and ham. Top with the remaining cheese.
Roll it up: Starting from the long side, tightly roll the dough into a log. Pinch the seams and tuck the ends underneath to seal the contents.
Prep for baking: Transfer the roll to your prepared baking sheet, seam side down. Brush the entire surface with the beaten egg wash. Cut 3 or 4 small slits across the top to let steam escape. Sprinkle with oregano and garlic powder.
Bake: Place in the oven and bake for 20-25 minutes until the crust is a deep golden brown. Let it rest for 10 minutes before slicing.