01 - Submerge diced potatoes in cold water for 10 minutes to remove excess starch. Drain thoroughly and pat completely dry with paper towels to ensure proper crisping.
02 - Heat 2 tablespoons olive oil and butter in a large skillet over medium-high heat until shimmering. Add potatoes in an even single layer. Cook, stirring occasionally, until golden brown and crispy throughout, approximately 12-15 minutes.
03 - Add remaining tablespoon of olive oil along with diced onions and bell peppers. Sauté until vegetables are softened and lightly caramelized, about 5-7 minutes.
04 - Stir in minced garlic, smoked paprika, cayenne pepper, ground cumin, salt, and black pepper. Continue cooking for 2 minutes, stirring constantly, until spices become fragrant and well incorporated.
05 - Taste the hash and adjust salt, pepper, or cayenne as needed to achieve desired flavor profile.
06 - If serving with eggs, create four shallow wells in the potato mixture. Crack one egg into each well. Cover skillet with lid and cook until egg whites are set but yolks remain runny, about 3-4 minutes.
07 - Remove from heat immediately. Sprinkle sliced scallions and fresh cilantro or parsley over the top. Serve hot while crispy, passing hot sauce at the table.