Mix filling: Combine chicken, sour cream, taco seasoning, and half the cheese.
Fill & roll: Divide filling across tortillas; roll burrito-style, tucking ends.
Brush & bake: Place seam-down on parchment-lined sheet, brush all sides with oil. Bake 425°F (220°C) 15 min, flipping halfway — or air-fry 380°F (195°C) 8 min until golden.
Finish: Sprinkle remaining cheese on top during last 2 min. Rest 2 min; garnish with cilantro and lime.