All meetings of Council shall be open to orderly members of the public; provided, that Council when sitting as a committee of the whole may go into executive session when authorized under West Virginia Code 6-9A-4 and exclude all persons from attending such executive session except those whose presence is deemed necessary by such committee of the whole; and provided further, that the committee of the whole shall not reconstitute itself as Council until the executive session is terminated and the meeting is again open to orderly members of the public. (1976 Code Sec. 2-18)