Any permittee of a co-located publication box, or the distributor of the publication box aggrieved by the City’s determination may appeal that determination to the Code Hearings Officer as provided in Chapter 22.10 of this Code. Notwithstanding any other provisions of this Code, there is a nonrefundable fee of $250 for any appeal pursuant to this Section. Such fee must accompany any such appeal and no such appeal will be considered filed or received until such fee is paid in full.