The ornamental design for “animal grooming brush”, as shown and described.
FIG. 1 illustrates a perspective view of an animal grooming brush showing my new design;
FIG. 2 is a right side elevational view of thereof, the left side being the same as the right side;
FIG. 3 is a bottom plan view thereof; and,
FIG. 4 is a top plan view thereof.
The broken lines shown in FIG. 3 illustrates environmental structure that forms no part of the claimed design. The long dash-short dash broken line shown in FIG. 3 represents the bounds of the claim and forms no part of the claimed design.