FIG. 1 illustrates a left front perspective view of the beverage dispenser showing my new design; FIG. 2 illustrates a front elevation view thereof; FIG. 3 illustrates a rear elevation view thereof; FIG. 4 illustrates a right side elevation view thereof; FIG. 5 illustrates a left side elevation view thereof; FIG. 6 illustrates a top view thereof; and, FIG. 7 illustrates a bottom view thereof.