Preheat your oven to 425°F and line a large rimmed baking sheet with parchment paper.
Pat the chicken wings thoroughly dry with paper towels to ensure the skin gets maximum crispiness.
In a large bowl, toss the wings with olive oil, smoked paprika, garlic powder, cayenne pepper, sea salt, and black pepper until evenly coated.
Arrange the wings in a single layer on the prepared baking sheet, ensuring they are not touching.
Bake for 30 to 35 minutes, flipping the wings halfway through, until they are golden brown and crispy.
While the wings bake, whisk together the sugar-free BBQ sauce and apple cider vinegar in a clean bowl.
Remove the wings from the oven, toss them in the BBQ sauce mixture until fully coated, and return them to the baking sheet.
Bake for an additional 3 to 5 minutes to allow the glaze to become tacky and caramelized.
Serve the hot wings immediately with the fresh celery and carrot sticks on the side.