Chef John's Milk Bread

Ingredients (10)

• ✓ ¼ cup bread flour
• ✓ ¼ cup water
• + ⅓ cup whole milk add to pantry
• + 1 ¼ teaspoons kosher salt add to pantry
• + ¼ cup white sugar add to pantry
• + 1 (.25 ounce) package instant dry yeast add to pantry
• + ½ cup warm whole milk (110 degrees F (43 degrees C)) add to pantry
• ✓ 1 large egg, beaten
• + 4 tablespoons unsalted butter, at room temperature, cubed add to pantry
• + 1 tablespoon milk, or as needed add to pantry