An infused beverage brewing assembly and system operably configured to receive a desired dispensed infused solution mass and a total infusion time utilized in an infusion algorithm to generate an infused solution. The system includes an electronic controller operably configured to initiate a time counter associated with an inducement of the flow of the solvent to generate a running infusion time and a first and second portions separated by a triggering condition, and to generate, in the second portion and dynamically, a remaining infusion time and a remaining dispensed infused solution mass, The electronic controller is also operable to execute the infusion algorithm in the second portion of the running infusion time to generate the solvent flow rate change sufficient to provide the remaining dispensed infused solution mass in the remaining infusion time based on the running infusion time, the desired dispensed infused solution mass, and the total infusion time.