The night before serving, warm the brewed sweet tea in a microwave-safe measuring cup until pleasantly warm (about 45 seconds). Stir in the kosher salt and 1/2 tablespoon smoked salt until dissolved, then add a few ice cubes to cool the brine to room temperature.
Place the chicken wings in a medium bowl and pour the cooled brine over them. Cover and refrigerate for 8 hours.
After brining, remove the wings from the brine and discard the brine. Pat the wings dry with paper towels, then arrange them on a baking rack set inside a half-sheet pan. Leave the wings uncovered in the refrigerator for 6 to 8 hours to dry the skin.
Preheat the oven to 400°F (200°C). Line a baking sheet with foil and place an oven-safe wire rack inside, then spray the rack with cooking spray.
In a small bowl, mix the cayenne, ancho chile powder, garlic powder, paprika, 1/4 teaspoon smoked salt, and black pepper.
In a large bowl, toss the dried wings with 1 tablespoon canola oil to coat. Sprinkle the spice mixture over the wings and toss until evenly coated.
Arrange the wings on the prepared rack so they do not touch. Bake for 40 to 50 minutes, flipping once halfway through, until the skin is browned and the tips are crispy.
Remove from the oven and serve warm.