The ornamental design for a cover for a beverage dispensing container, as shown and described.
FIG. 1 is a perspective view showing the top, front side, and left side of a cover for a beverage dispensing container according to our new design;
FIG. 2 is a perspective view showing the top, rear side, and left side thereof;
FIG. 3 is a front view thereof;
FIG. 4 is a rear view thereof;
FIG. 5 is a perspective view showing the top, front side, and left side of the cover when the beverage dispensing container is placed inside of the cover; and,
FIG. 6 is an exploded view of the cover and beverage dispensing container illustrated in FIG. 5.
The broken lines in the figures represent portions of the cover for a beverage container that form no part of the claimed design.