(a) A licensed agent may be licensed as a broker and be a broker as to insurers for which he or she is not then licensed as agent.
(b) A licensed broker may be licensed as and be an agent as to insurers appointing him or her as agent.
(c) The sole relationship between a broker and an insurer as to which he or she is then licensed as an agent, as to transactions arising during the existence of the agency appointment, shall be that of insurer and agent and not that of insurer and broker.