The Mayor and the directors of all departments established by this Charter, or that may hereafter be established by ordinance shall be entitled to seats in the Council. Neither the Mayor nor the Director of any department shall have a vote in the Council, but the Mayor shall have the right to introduce ordinances and to take part in the discussion of all matters coming before the Council and the Directors of Departments shall be entitled to take part in all discussions in the Council relating to their respective departments. The Council by ordinance or resolution may authorize other city officials to have seats in Council.