I claim the ornamental design for a hair beautification comb, as shown and described.
FIG. 1 is a rear perspective view of the hair beautification comb showing my new design;
FIG. 2 is a front perspective view thereof;
FIG. 3 is a front elevation view thereof;
FIG. 4 is a rear elevation view thereof;
FIG. 5 is a left-side elevation view thereof;
FIG. 6 is a right-side elevation view thereof;
FIG. 7 is a top plan view thereof; and,
FIG. 8 is a bottom plan view thereof.
The broken lines shown in the drawings are for the purpose of illustrating portions of the hair beautification comb that form no part of the claimed design.