Preheat & prep: Preheat oven to 375°F (190°C). Line a baking sheet with parchment. If using an air fryer, preheat according to manufacturer directions (about 350°F / 175°C typical).
Make the filling: In a medium bowl, beat the softened cream cheese until smooth. Add mayonnaise and mix until combined. Stir in egg yolk, Dijon mustard, and lemon juice until smooth. Add garlic, chives, parsley, grated cheese (if using), and Old Bay. Fold in crab meat gently — keep lumps of crab intact for texture. Taste and season with salt and pepper. If filling feels loose, chill 10–15 minutes.
Prepare dough: Unroll crescent dough and press seams together to form a consistent sheet. Cut each crescent triangle in half crosswise if triangles are large (you want about 24 uniform pockets). If using puff pastry, cut into ~3×3-inch squares.
Fill: Place about 1 tablespoon of crab filling into the center of each dough piece. Don’t overfill. Fold dough over and pinch edges to seal; tuck or twist ends for a tidy look. Place on prepared sheet about 1 inch apart.
Egg wash & finish: Lightly brush each bite with the beaten egg wash for shine. Optionally brush a little melted butter on top. Sprinkle with a pinch of sea salt or smoked paprika if desired.
Bake or air-fry:
Oven: Bake at 375°F (190°C) for 12–15 minutes, until golden and filling is set. Rotate pan halfway for even browning.
Air-fryer: Arrange in a single layer and air-fry at 350°F (175°C) for 8–10 minutes until golden (may require batches).
Rest & serve: Transfer to a cooling rack and let rest 3–4 minutes (filling will be very hot). Garnish with lemon wedges and chopped parsley. Serve with chosen dips (lemon garlic aioli, remoulade, or cocktail sauce recommended).