The ornamental design for a animalsafetyseat, as shown and described.
FIG. 1 is a perspective view of a animal safety seat, illustrated in an open position, showing my new design;
FIG. 2 is a perspective view of a animal safety seat, illustrated in closed position, showing my new design;
FIG. 3 is a front elevational view of FIG. 2;
FIG. 4 is a rear elevational view of the invention, illustrated in the open position;
FIG. 5 is a left-side elevational view of the invention, illustrated in the open position, the right-side elevational view being a mirror image thereof;
FIG. 6 is a top plan view of the invention, illustrated in the open position; and,
FIG. 7 is a bottom plan view of the invention, illustrated in the open position.
The broken lines showing a dog in FIG. 1 are included for the purpose of illustrating the invention in use, and form no part of the claimed design.