Cook the ground beef and onion in a skillet over medium-high heat, breaking the meat apart, until browned and no pink remains. Drain any excess fat.
Stir in the garlic, cumin, smoked paprika, salt, pepper, tomato sauce, and green olives. Cook for 2 more minutes, then remove from heat and let cool for 5 minutes.
Place about 2 tablespoons of filling on one half of each empanada disc. Fold the dough over and press the edges with a fork to seal tightly.
Brush the tops of each empanada with beaten egg and spray lightly with cooking spray.
Preheat the air fryer to 375°F (190°C). Place the empanadas in a single layer in the basket.
Air fry for 8 to 10 minutes, flipping halfway through, until golden brown and flaky on both sides. Serve warm.