((a)) ** .—** The corporation shall have a designated agent in the District of Columbia to receive service of process for the corporation. Notice to or service on the agent, or mailed to the business address of the agent, is notice to or service on the corporation.
((b)) ** .—** As a condition to the exercise of any power or privilege granted by this chapter, the corporation shall file, with the secretary of state or other designated official of each State, the name and address of an agent in that State on whom legal process or demands against the corporation may be served.