(a) A person who has served as a member of a particular board for four consecutive two-year terms will not again be eligible to serve on that same board until at least one term has elapsed, regardless of whether service was as a member or chair.
(a-1) Reserved.
(b) Notwithstanding Subsection (a), a person may serve as a member of a particular board for the maximum number of terms that may be fixed for the particular board by the city charter or federal law and will not again be eligible to serve on that same board until at least one term has elapsed.