Crab Cakes: In a large bowl, whisk egg, mayonnaise, chives, mustard, Old Bay, lemon zest, and salt. Fold in crab meat and cracker crumbs until combined.
Form crab mixture into 8 patties (you can refrigerate patties up to 4 hours).
Spray an air-fryer basket and tops of crab cakes with cooking spray. Arrange crab cakes in a single layer in basket. Cook at 375°, flipping halfway through, until deep golden brown and crisp, 12 to 14 minutes.
Tartar Sauce: In a medium bowl, stir pickles, mayonnaise, shallot, capers, dill, lemon juice, and mustard.
Serve crab cakes warm with hot sauce, lemon wedges, and tartar sauce.
