Mexican Potato Omelet

2 teaspoon(s) extra-virgin olive oil, divided
1 cup(s) frozen hash-brown potatoes, or diced cooked potatoes
1 tablespoon(s) chopped mild green chiles
4 large eggs
1/2 teaspoon(s) hot sauce
1/4 teaspoon(s) salt, or to taste
Freshly ground pepper, to taste
1/2 cup(s) grated pepper Jack, or Cheddar cheese
1/4 cup(s) chopped scallions
1/4 cup(s) coarsely chopped fresh cilantro, or parsley

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Directions

Heat 1 teaspoon oil in a 10-inch nonstick skillet over medium-high heat. Add potatoes and cook until golden brown, shaking the pan and tossing the potatoes from time to time, 3 to 5 minutes. Stir in chiles and transfer to a plate. Wipe out the pan.
Blend eggs, hot sauce, salt and pepper with a fork in a medium bowl. Stir in cheese, scallions, cilantro (or parsley) and the potato mixture.
Set a rack about 4 inches from the heat source; preheat the broiler.
Brush the pan with the remaining 1 teaspoon oil; heat over medium heat. Pour in the egg mixture and tilt to distribute evenly. Reduce the heat to medium-low and cook until the bottom is light golden, lifting the edges to allow uncooked egg to flow underneath, 3 to 4 minutes. Place the pan under the broiler and cook until the top is set, 1 1/2 to 2 1/2 minutes. Slide the omelet onto a platter and cut into wedges.