Special equipment: a pizza stone
Preheat the oven to 425 F with a pizza stone on the bottom rack.
Divide the pizza dough in half. Line a pizza peel or turned-over baking sheet with parchment paper. Roll one half of the dough into a 12-inch round on the parchment. Layer the sliced Cheddar over the crust, leaving a 1-inch border all around. Brush the border with olive oil. Roll the remaining piece of dough on another sheet of parchment into a 12-inch round and place it on top of the first crust. Lightly roll over the dough with the rolling pin to seal the rounds together, then fold the edges up and pinch them in place to form a crust border. Transfer the dough on the parchment to the pizza stone and bake until just cooked through, 10 to 12 minutes.
Meanwhile, heat the oil in a medium skillet over medium heat. Add the beef and cook, breaking it up with a wooden spoon, until no longer pink, about 4 minutes. Add the chili powder, cumin and 1/2 teaspoon salt and stir the spices into the beef. Clear a spot in the pan and add the tomato paste. Let toast for 1 minute, then stir into the beef. Add 1/2 cup water and simmer rapidly, stirring until the water has almost reduced away, about 2 minutes. Keep hot.
Spread the beans on the crust, leaving a border. Spoon the meat over the top, then the pico de gallo. Mound the lettuce on the pizza and top with the grated Cheddar, avocado, sour cream and olives. Slice and serve immediately.
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