(a) If a physician appointed to serve as health authority for a county serves in that office part-time, the physician may:
(1) coordinate with the director of the local health department for the county in the performance of the duties imposed by § 121.024(c)(3); and
(2) notify the department that the physician serves part-time in the office of health authority for the county.
(b) If the department provides information to a physician who serves part-time as health authority for a county, the department shall also provide the information to the director of the local health department for the county.