Heat the oil in a large cast iron skillet, when hot, add the hash browns and cook undisturbed for 5-10 minutes, then flip and cook 5 minutes more, until golden and crispy. Add onions and bell pepper and season with salt and pepper as desired and mix together. Cook until onions and bell pepper are tender, about 5 minutes. Then add the garlic and jalapeno and cook until fragrant, 1 minute.

Sprinkle on the cheese and let that melt then mix in well.

Use the back of a spoon and make for nests in the hash brown mixture, and crack an egg into each one and salt and pepper to taste. Cover and cook until the whites are set and yolk is still runny, about 8 minutes.

While the eggs are cooking, make the gravy. Cook the sausage in a medium size non stick skillet until browned and cooked through, sprinkle the flour on the cooked sausage, mix and cook one minute, then add the milk and bring to a boil then reduce to heat to a simmer and cook until thickened, about 5 minutes. Season with salt, pepper, and cayenne pepper to taste. Remove from heat.

Scoop up some hash with an egg and place on a plate, pour over some gravy, garnish with chopped chives if desired.