Heat a 12” skillet over medium heat. Add enough oil to generously coat the bottom. Once hot, add the potatoes. Spread them out into an even layer and cook until golden and crisp, about 8 minutes, stirring often. Transfer the potatoes to a plate and season with a pinch of salt.
To the skillet, add a little more olive oil, along with the shallot, red fresno chili pepper, and poblano pepper. Saute for a few minutes until slightly caramelized and tender. Add the cherry tomatoes. Continue to cook until the cherry tomatoes have burst open. Season with a pinch of salt.
Stir in the spice blend and cook for another minute. Add the red wine vinegar, oregano, and the juice of half of the lime. Stir well and continue to cook for a minute or so to allow the vinegar to reduce.
Stir the potatoes back in to heat through. Meanwhile, whisk together the greek yogurt, remaining lime juice, and a pinch of salt to taste.
Serve the potato hash with 4 fried eggs on top, a few big dollops of yogurt sauce, the sliced avocado, and fresh cilantro to garnish.