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No, because creatures of the animal TYPE are not the same as creatures of the magical beast TYPE and charm animal/hide from animals affect creatures of the animal TYPE.
Charm Animal: "This spell functions like charm person, except that it affects a creature of the animal type."
Hide from Animal: "Animals cannot sense the warded creatures. Even extraordinary or supernatural sensory capabilities, such as blindsense, blindsight, scent, and tremorsense, cannot detect or locate warded creatures. Animals simply act as though the warded creatures are not there."
Animals and magical beasts are not the same thing.