The City Council with Mayor presiding shall have power, for such causes of incapacity, negligence, or bad conduct as to it shall seem sufficient, to suspend or remove from any office any City officer who may be appointed by the City Council with Mayor presiding and to fill all vacancies in any such office from whatever cause arising. The Mayor and each board shall have like power of removal in respect to any officers who may be appointed by them, except as herein otherwise provided, and provided that in case the appointment of such officer is made subject to the approval of the City Council or City Council with Mayor presiding, the removal of such officer shall likewise be made subject to the approval of the City Council or City Council with Mayor presiding, as such appointment was made. Additionally, the City Council may, on the initiative of the Mayor, by an affirmative vote of at least two-thirds of its entire number, remove at any time at its pleasure any City officer or department head it should determine is no longer effectively serving the City, and all City officers and department heads shall take and hold office subject to this authority. (Amended 2001, No. M-6, § 2.)