Warm the olive oil in a large sauté pan over medium-high heat. Add the sweet potato, onions, and carrot and cook for 3–4 minutes, stirring often, until the potatoes and carrots are softened.
Add the garlic and tomatoes and stir to combine, then stir in the beef and break the beef apart with a spoon or spatula until it is browned and cooked through.
Stir in the remaining ingredients to the beef mixture, then simmer for 10 minutes or until most of the moisture has cooked off. Remove the pan from the heat to let cool slightly.
Place the flour and salt into the bowl of a food processor and pulse to combine, then add the butter and pulse several times. Blend in the egg and water a little bit at a time until the dough comes together and forms a shaggy dough
Turn the dough out onto a lightly floured surface and bring it together using your hands, adding more water as needed, a tiny bit at a time. The dough will be ready to use when it is smooth and not sticky but not crumbly or dry. Refrigerate wrapped in plastic wrap until ready to use.
Remove the dough from the refrigerator, divide the dough into portions, and keep them covered until ready to use.
Whisk an egg and 1 tablespoon of water together in a small bowl to make an egg wash.
Roll the dough portions out to ¼ to ⅛-inch-thick rounds using a rolling pin on a floured surface. Fill each dough round with 2 tablespoons of the filling, then fold the dough over the filling.
Fold the edges of the dough over each other starting at one end and ending at the other to seal. Alternatively, press the edges of the dough together with the tines of a fork to seal.
Brush the tops of the empanadas with the egg wash.
Select the Preheat function on the COSORI Air Fryer, adjust temperature to 375°F, then press Start/Pause.
Place the empanadas into the air fryer basket.
Set temperature to 375°F and time to 8 minutes, then press Start/Pause.
Remove the empanadas when done and brush again lightly with the egg wash for shine while they are still very hot, then serve with the chimichurri on the side.