Place the chicken tenders in a shallow bowl and pour the dill pickle juice over them so they are fully submerged.
Cover and refrigerate for 8 hours to brine.
Remove the tenders from the brine, discard the marinade, and pat the chicken completely dry with paper towels.
In a medium bowl, whisk together the whole egg, egg white, Kosher salt, and freshly ground black pepper to taste.
In a separate shallow dish, combine the seasoned bread crumbs and the seasoned panko.
Working one at a time, dip each chicken tender into the egg mixture, then press into the breadcrumb mixture until evenly coated. Shake off excess crumbs.
Place the breaded tenders on a work surface and generously spray both sides with olive oil spray.
Preheat the air fryer to 400°F (200°C). Arrange a single layer of tenders in the basket without overlapping and cook for 10 to 12 minutes, flipping halfway, until golden and cooked through.
If using a toaster-oven style air fryer, cook about 10 minutes at the same temperature.
For oven cooking, preheat the oven to 425°F (220°C). Bake on the lower third of the oven for 8 to 10 minutes, flip the tenders, then bake 6 minutes more until cooked through and crispy.
Serve immediately.