On the January 1 of each year or within ten (10) days thereof, the Council shall meet for the purpose of organizing. At such meeting, the newly elected members of the Council shall subscribe to the oath of office set forth in Sec. 11.07 of this Charter. At this meeting, or as soon thereafter as the Council finds feasible, the Council shall elect the following officer:
   (a)    A Vice Mayor, who shall be a member of Council, and who shall act as Mayor during the temporary disability or absence of the Mayor subject to the request of the Mayor, or when requested to so act by the Mayor during the latter's temporary absence from the Municipality. The Vice Mayor shall preside over meetings of the Council whenever the Mayor is absent.
   (b)    In the absence of both the Mayor and the Vice Mayor, the members of Council shall elect one (1) of its members to preside over the meeting.