The Hearing Officer may, by order, require the muzzling of any dog owned or harbored within the City that is found to be potentially dangerous or vicious, and may specify the period of time during which such dog shall be so muzzled. Any dogs running at large which are not vaccinated, or which are not muzzled, pursuant to such order, shall be forthwith put to death by authorized employees of the City. Such muzzling must not cause injury to the dog or interfere with the animal's vision, respiration or its ability to drink.