Cheese And Roasted Chile Bread

Ingredients

• ½ cup water, room temperature (65–70°F)
• 1½ teaspoons quick rise active dry yeast
• 2 cups bread flour
• 2 tablespoons vital wheat gluten
• 2½ teaspoons kosher salt
• ¼ cup sugar
• 2 tablespoons shortening
• 2 tablespoons unsalted butter, room temperature
• 2 tablespoons milk
• 1 large egg
• ½ cup aged yellow
• cheddar ½-inch cubes
• ½ cup asiago cheese, ½-inch cubes
• 1 teaspoon red pepper flakes
• ¼ cup mild fire roasted diced green chiles
• 1 egg
• 1 tablespoon water
• ½ cup shredded sharp cheddar cheese