((a)) ** .—** The corporation shall have a designated agent in the District of Columbia to receive service of process for the corporation. Designation of the agent shall be filed in the office of the clerk of the United States District Court for the District of Columbia. 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, territory, or possession of the United States in which the corporation does business, the name and address of an agent in that State, territory, or possession on whom legal process or demands against the corporation may be served.