Prepare the dough. Add all the dough ingredients to your bread machine in the order recommended by the manufacturer. Select the DOUGH cycle. Check the consistency of the dough during the first few minutes. If the dough appears dry and crumbly, add more water, one tablespoon at a time. If it’s too sticky, add more flour, one tablespoon at a time. The dough should be smooth and should pull away from the sides of the bucket cleanly.
Remove dough. Remove the dough when the machine beeps. (It may have risen only slightly.)
Shape and first rise. Gently stretch the dough to cover a 13 x 9-inch baking dish. Cover and let rise in a warm place for 1 hour. Towards the end of the rising time, preheat the oven to 350°F (175°C).
Add the cinnamon sugar layer. After the dough has risen, combine the brown sugar and cinnamon for the topping. Make indentations in the dough with your thumb and evenly sprinkle the sugar mixture on top. Then, pour the melted butter over the cinnamon sugar layer.
Bake and glaze. Bake for 25-35 minutes, or until the cake is cooked through and golden brown. Then, allow the cake to cool briefly in the pan. Next, mix the glaze ingredients until thick but pourable. Drizzle the glaze over the coffee cake. Serve directly from the pan. For best results, wrap the cake tightly to keep it fresh for up to two days at room temperature.