Admission of additional limited partners. After the filing of a limited partnership's original certificate of limited partnership, a person may be admitted as an additional limited partner:
a. In the case of a person acquiring a partnership interest directly from the limited partnership, upon compliance with the partnership agreement or, if the partnership agreement does not so provide, upon the written consent of all partners; or
b. In the case of an assignee of a partnership interest of a partner who has the power, as provided in section 48 of P.L. 1983, c. 489 (C. 42:2A-49), to grant the assignee the right to become a limited partner, upon the exercise of that power and compliance with any conditions limiting the grant or exercise of the power.