Disaster successors may act as members of the legislature only:
A. in case of a disaster emergency declared by the chief executive officer of the United States and the chief executive officer of the state, and as long as a state of martial law is declared to exist, or until a duly elected or appointed legislature, fulfilling all constitutional requirements, declares by joint resolution that the disaster emergency period has ended; and
B. the member in whose stead they are acting is and remains unavailable; and
C. any disaster successor [successors] who are ahead of them in the line of succession are, and remain unavailable; and
D. a successor to the office has not been selected and qualified as provided by law other than the Legislative Disaster Succession Act [ 12-11-11 to 12-11-18 NMSA 1978].