No person shall hold the office of councilman while holding any other office, position, or employment of profit under the city, any department, board, commission, or agency thereof, under this Commonwealth, any county, city, or other political subdivision thereof, or under the United States, except that of notary public or an office in the military or naval service of the United States or of this Commonwealth. No councilman shall be eligible to any office, position, or employment of profit under the city, any department, board, commission, or agency thereof, during the term for which he shall have been elected as councilman.
53 P.S. § 12523