The law is quite clear on this point. (Underscore has been added to highlight the relevant part.)
Section 169-5. Certificate of appropriateness for alteration, demolition, or new construction. [Amended 6-15-2020 by L.L. No. 3-2010] A certificate of appropriateness is required to carry out any exterior alteration, additions, restoration, reconstruction, demolition, new construction, or moving of a landmark or property within an historic district, or to make any material change in the appearance of such a property or its windows, or install or move a satellite dish. This certificate is to be obtained prior to obtaining a building permit. A certificate of appropriateness must be obtained even if a building permit is not required. Noncontributing properties within an historic district must also follow the same procedure. An application for a certificate of appropriateness for the alteration or addition of a sign in an historic district or associated with a landmark may only be submitted to the Historic Preservation Commission after issuance by the Building Inspector of an erection permit pursuant to Chapter 244.Is it too much to expect that the members of our regulatory boards be familiar with the laws they are expected to apply and uphold?