A district, through its board, may sue and be sued in any court of this state in the name of the district. Service of process on a district may be had by serving either the current chairman of the board or the current chief executive officer of the district or its registered agent designated by the district by filing a statement with the office of the secretary of state setting forth: (i) the name of the district, and (ii) the name and address of the district’s registered agent, which address must be in the State of Texas. The statement shall be executed on behalf of the district by an officer of the district. A district may change the name and address of its registered agent by filing another statement with the office of the secretary of state. Upon such filing, the prior registered agent for the district shall cease to be the registered agent for the district and service of process may not be had by serving the prior registered agent.