The ornamental design for a gametile shuffling and inverting device, as illustrated and described.
FIG. 1 is a front perspective view of my new design for a game tile and shuffling and inverting device.
FIG. 2 is a front elevational view thereof.
FIG. 3 is a top plan view thereof.
FIG. 4 is a right plan view thereof.
FIG. 5 is a left plan view thereof.
FIG. 6 is a bottom plan view thereof.
FIG. 7 is a rear elevational view thereof; and,
FIG. 8 is an open perspective view thereof.
The broken lines showing game tile racks removably positionable on the device, in its open, use position is included for the purpose of illustrating environment and forms no part of the claimed design.