Any incorporated society, order or supreme lodge, without capital stock, including one exempted under the provisions of Paragraph (2) of Subsection A of Section 59A- 44-40 NMSA 1978, whether incorporated or not, conducted solely for the benefit of its members and their beneficiaries and not for profit, operated on a lodge system with ritualistic form of work, having a representative form of government, and which provides benefits in accordance with N.M. Stat. Ann. Chapter 59A, Article 44, is hereby declared to be a fraternal benefit society.