The ornamental design for a card-carrying mobile device case, as shown and described.
FIG. 1 is a front perspective view of my new card-carrying mobile device case 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 view thereof;
FIG. 7 is a bottom view thereof; and,
FIG. 8 is a rear view of my new design with the cover open. This figure is shown at a smaller size than previous figures solely due to sheet size and sight size constraints.
The broken lines depict environment and are included for the purpose of illustrating only and form no part of the claimed design.