The ornamental design for a barcart with stemwareholder and wine rack, as shown and described.
FIG. 1 is a perspective view of a bar cart with stemware holder and wine rack showing my new design;
FIG. 2 is a front view thereof;
FIG. 3 is a rear view thereof;
FIG. 4 is a left side view thereof;
FIG. 5 is a right side view thereof;
FIG. 6 is a top plan view thereof; and,
FIG. 7 is a bottom plan, view thereof.
The broken lines are for the purposes of illustrating portions of the bar cart with stemware holder and wine rack and form no part of the claimed design.