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Tuck pointing, the restoration of deteriorating mortar between the bricks, is somewhat overkill for this sort of repair. Instead, purchase a small container of cement patching compound at any hardware store. Mix a small quantity with water… minimum 2 cups for proper mixing… and push it into the holes, smoothing the patch with your finger. You can also use a sponge for final smoothing. There is no need to spread the patch much beyond the immediate area of these holes.
Don't use caulk... it will not even slightly resemble the mortar!