If the owner of a dog or other animal wishes to challenge the impoundment, such owner shall personally deliver or mail a written request for a hearing to the Animal Control Officer. Such notice shall be received by the Animal Control Officer within 96 hours after impoundment. If a valid request for a hearing is filed, the Animal Control Officer shall set the time and place for the hearing before the Animal Control Officer and a City representative and give notification of such to the owner within 36 hours.