Chef John's Cuban Sandwich

Ingredients (9)

• + ¼ cup mayonnaise add to pantry
• + ¼ cup mustard add to pantry
• + 1 pinch cayenne pepper add to pantry
• + 1 (8 ounce) loaf Cuban bread add to pantry
• + 8 slices Swiss cheese add to pantry
• + 6 thin slices smoked fully-cooked ham add to pantry
• ✓ 1 ½ cups cooked pulled pork, heated
• + 1 large dill pickle, sliced thinly lengthwise add to pantry
• + 2 tablespoons butter, or as needed add to pantry