Reuben Dog

Ingredients

• 6 Pastrami Dogs, recipe follows
• 6 tablespoons salted butter
• 6 Rye Split Top Hot Dog Buns, recipe follows
• 6 ounces gruyere, sliced or shredded
• 3/4 cup 1000 Island Dressing, recipe follows
• 3 cups Celebration Slaw, recipe follows
• 3 pounds beef short rib meat or chuck, cut into 1/2-inch cubes (at least 20-percent fat content)
• Ice, for placing in a bowl
• 1 1/4 cups ice water
• 1 1/2 tablespoons kosher salt
• 1 tablespoon powdered dextrose, or 2 teaspoons fine sugar
• 1 tablespoon ground pickling spice
• 1 tablespoon light brown sugar
• 1 1/4 teaspoons pink salt, such as InstaCure or Prague Powder 1, used for red color, or 2 tablespoons kosher salt
• 1 1/2 tablespoons crushed garlic
• 1 tablespoon coarsely ground toasted coriander seeds
• 1 tablespoon coarsely ground toasted black peppercorns
• 1/4 teaspoon ground juniper berries
• 2/3 cup nonfat milk powder or textured soy protein
• 1 tablespoon liquid smoke, use if poaching, not smoking, the dogs
• Special equipment: meat grinder with large and small grinding palette and chilled paddle attachment; 6 feet of hog casing or 12 feet sheep of casing, rinsed and soaked in room temperature water; butcher's twine, for tying the dogs
• 3/4 cup rye flour
• 3/4 cup warm milk (110 degrees F)
• 1/4 cup onion, pulverized like an onion smoothie
• 3 tablespoons honey
• 2 tablespoons unsalted butter, at room temperature
• 1 tablespoon instant yeast
• 3 cups bread flour or all-purpose flour, plus more as needed
• 3/4 cup warm water (110 degrees F)
• 1 tablespoon caraway seeds, slightly smashed
• 2 teaspoons kosher salt
• Nonstick spray
• 1 egg white
• 1 cup Garlic Mayo, recipe follows
• 1/2 cup chopped garlic dill pickles
• 1/4 cup ketchup
• 3 tablespoons chili sauce, such as Heinz
• 2 teaspoons Worcestershire sauce
• 1 teaspoon fresh lemon juice
• Salt
• 2 teaspoons fresh lemon juice
• 1 teaspoon Dijon mustard
• 1 teaspoon kosher salt
• 2 cloves garlic, chopped
• 2 large egg yolks
• 1 cup extra-virgin olive oil
• 1/2 cup Garlic Mayo, recipe above
• 2 tablespoons Creole mustard, such as Zatarain's
• 2 tablespoons light brown sugar
• 2 tablespoons apple cider vinegar
• 1 tablespoon fresh lemon juice
• 1 tablespoon minced fresh scallion
• 2 teaspoons buttermilk
• 1 teaspoon kosher salt
• 1/2 teaspoon hot sauce, such as Crystal or Frank's
• 1/4 teaspoon freshly ground black pepper
• 1/2 small jalapeno pepper, minced but not deseeded
• 4 cups store-bought coleslaw mix
• 1 fresh jalapeno, seeded and julienned