(a) If a candidate in a new election ordered by a court in an election contest dies or is declared ineligible before the date on which the district court sets the date for the new election, the candidate's name may not be placed on the ballot for the new election.
(b) If a candidate in the new election dies or is declared ineligible on or after the date on which the district court sets the date for the new election, the candidate's name shall be placed on the ballot, and votes for the candidate shall be given the same effect as votes for a deceased or ineligible candidate whose name appears on the ballot for a regularly held election for the contested office.