A write-in candidate may not be certified for placement on the list of write-in candidates if:
(1) the information on the candidate’s declaration of write-in candidacy indicates that the candidate is ineligible for the office;
(2) facts indicating that the candidate is ineligible are conclusively established by another public record;
(3) the candidate is determined ineligible by a final judgment of a court;
(4) the candidate’s declaration of write-in candidacy is invalid for the office under Section 146.023(c); or
(5) the certifying authority learns that the candidate’s name is to be omitted from the list under Section 146.0301.