A method of forming frozen beverage blocks from a liquid beverage. The method may include introducing a beverage into a hot beverage reservoir of a beverage receiving subsystem to initiate the process. Next, the beverage may flow from the hot beverage reservoir of the beverage receiving subsystem into a cooling subsystem. The flow from the hot beverage reservoir into and through the cooling subsystem may be done entirely via gravity. Cool air may be blown across the cooling subsystem to cool the beverage as the beverage flows through the cooling subsystem. Upon the temperature of the beverage being measured at or below a predetermined lower threshold temperature, the beverage may be permitted to flow, via gravity, from the cooling subsystem into a cool beverage reservoir of a freezing subsystem. The freezing subsystem may be configured to convert the beverage from a liquid into frozen beverage blocks.