Machines, devices, and methods for generating and dispensing mixed beverages are disclosed. An exemplary beverage machine includes a liquid storage container, an additive ingredient chamber, a mixing chamber, a piston for providing fluid movement into and/or out of the mixing chamber, and a cooling system. The cooling system may be configured to recycle heat rejected from the liquid storage container to provide a heat source for warming a mixed beverage contained in the mixing chamber, in addition to other functions and components.