The name of a mutual life insurance company or incorporated stock company to which a fraternal benefit society converts:
(1) must, if possible, be a continuation of the society's name; and
(2) may not, if the new company's name is changed from the society's name, be:
(A) the same as that of any other company engaging in business in this state; or
(B) a name similar to that of any other company engaging in business in this state.