Easy Cinnamon Buns (Bread Machine)

Ingredients

• 1/4 cup water
• 1 cup milk
• 1/2 teaspoon salt
• 1 tablespoon sugar
• 1/4 cup butter
• 1 egg
• 0.5 (102 g) box instant vanilla pudding
• 4 cups flour
• 1 tablespoon yeast
• FILLING
• 1/2 cup butter
• 1 cup brown sugar
• 2 teaspoons cinnamon
• ICING
• 4 ounces cream cheese
• 1/4 cup butter
• 1/2 teaspoon vanilla
• 1/2 teaspoon milk
• 1 1/2 cups icing sugar