Heat avocado oil in a large non-stick skillet over medium-high heat.
Add the diced onion and bell pepper, sautéing until they begin to soften and become fragrant.
Add the ground beef to the skillet, breaking it apart with a spatula, and cook until browned and fully cooked through.
Stir in the cubed boiled potatoes, smoked paprika, garlic powder, sea salt, and black pepper.
Press the mixture down with the spatula and cook undisturbed for 4 minutes to allow the potatoes to develop a crispy, golden crust.
Create a small well in the center of the hash and crack the egg into it, covering the pan for 3 minutes until the egg white is set but the yolk remains runny.
Remove from heat, garnish with fresh parsley, and serve immediately.