The last two exceptions to the Open Meetings Act apply to specific public bodies and therefore are quite limited.
Those portions of meetings of committees or boards of public hospitals where strategic and long-range business plans or trade secrets are discussed can be closed. NMSA 1978 § 10-15-1-H (9)
That portion of a meeting of the gaming control board dealing with information made confidential pursuant to the provisions of the Gaming Control Act can be closed. NMSA 1978 § 10-15-1-H (10)