Preheat air fryer to 325°. In a small skillet, cook and crumble beef over medium heat until no longer pink, 4-5 minutes. Transfer to a large bowl. In the same skillet, heat butter and olive oil over medium-high heat. Add garlic and shallot; cook 1 minute. Stir in mushrooms and wine. Cook until mushrooms are tender, 8-10 minutes; add to beef. Stir in parsley, salt and pepper., Place about 2 teaspoons filling in the center of each wonton wrapper. Combine egg and water. Moisten wonton edges with egg mixture; fold opposite corners over filling and press to seal. , In batches, arrange wontons in a single layer on greased tray in air-fryer basket; spritz with cooking spray. Cook until lightly browned, 4-5 minutes. Turn; spritz with cooking spray. Cook until golden brown and crisp, 4-5 minutes longer. Serve warm.