An automated hot beverage dispensing machine and method for producing hot beverages is disclosed. The preferred apparatus includes a plurality of flavoring reservoirs connected through pumps and valves to a plenum that dispenses the flavoring directly into a mixing chamber. The mixing chamber also receives milk and steam, facilitating mixing of the milk, steam, and flavoring, and dispensing the mixture into a serving cup. The dispensing machine may include a coffee brewing system, whereby the machine can produce flavored lattés, cappuccinos, and the like. In the preferred embodiment, pressurized steam is directed through a venturi assembly that draws in refrigerated milk and ambient air and delivers the fluids to a vortex mixer to produce steamed and/or foamed milk. The flavoring is delivered to the vortex mixer, and steam is channeled to the plenum to facilitate delivery of the flavoring and maintain the cleanliness of the plenum.