A single axis application unit for processing a glass workpiece includes a workpiece supporting table, an applicator movable on a traveler shiftable along a first linear axis and a central suction unit that is activateable to grip the glass workpiece that travels along a second linear axis oriented generally perpendicular to the first linear axis. A central suction unit brake selectively secures the central suction unit both rotationally and translationally. The central suction unit is freely moveable both translationally and rotationally when the central suction unit brake is released. A mid-peripheral suction unit is located at a fixed location remote from the central suction unit and selectively activateable to grip the glass workpiece to hold the glass workpiece in a fixed orientation. A corner suction gripper is movable with the applicator parallel to the first linear axis, and is selectively activateable to grip the glass workpiece.