Dice the Yukon Gold potato into small, uniform half-inch cubes to ensure even cooking and maximum crispiness.
Heat the avocado oil in a large cast-iron skillet over medium-high heat until the oil is shimmering.
Add the diced potatoes to the skillet in a single layer and cook for 8-10 minutes, stirring occasionally, until they are golden brown and tender.
Push the potatoes to the side of the pan and add the ground turkey, breaking it up into small pieces with a wooden spoon.
Season the mixture with smoked paprika, sea salt, and black pepper, then stir in the diced onion and red bell pepper.
Continue cooking for 6-7 minutes until the turkey is fully browned and the vegetables have softened and caramelized slightly.
Create a small well in the center of the hash and crack the egg into it, then cover the pan for 2-3 minutes until the white is set but the yolk remains jammy.
Garnish the entire hash with freshly chopped parsley and serve immediately while hot.