The ornamental design for a dispensingsystem for delivering a customized beverage, as shown and described.
FIG. 1 is a right perspective view of the dispensing system for delivering a customized beverage showing our new design;
FIG. 2 is a front view thereof;
FIG. 3 is a rear view thereof;
FIG. 4 a left side view thereof;
FIG. 5 is a right side view thereof;
FIG. 6 is a top view thereof; and,
FIG. 7 is a bottom view thereof.
The broken lines in the drawing depict portions of the dispensing system for delivering a beverage for a delivering customized beverage that form no part of the claimed design.