Chocolate Chai Cinnamon Rolls

Ingredients

• 1 cup whole milk (or substitute 5/8 cup skim milk plus 3/8 cup half and half)
• 3 tablespoons unsalted butter
• 1 cup white whole wheat flour (or substitute unbleached all-purpose flour)
• 1/2 cup granulated sugar
• 1 large egg
• 1 teaspoon pure vanilla extract
• 1 (0.25oz) package (7g) or 2 1/4 teaspoons Platinum Yeast
• 1 teaspoon kosher salt
• 1 1/4 teaspoons ground cinnamon
• 1/2 teaspoon cardamom
• 1/4 teaspoon ground cloves
• 2 1/2 cups unbleached all-purpose flour (plus additional for kneading)
• 8 ounces semisweet chocolate (preferably chocolate bars, but chocolate chips can be used in a pinch)
• 1/4 cup granulated sugar
• 1/4 cup packed brown sugar (light or dark)
• 1 tablespoon ground cinnamon
• 1 teaspoon ground cardamom
• 1/2 teaspoon ground ginger
• 1/2 teaspoon kosher salt
• 1/4 teaspoon fresh cracked black pepper
• 1/8 teaspoon ground cloves
• 3 tablespoons unsalted butter (at room temperature)
• 1/3 cup finely chopped candied ginger
• 1 cup powdered sugar, sifted
• 2 tablespoons half and half or heavy cream
• 1/8 teaspoon ground cinnamon
• 1/8 teaspoon ground cardamom
• 1/8 teaspoon cloves