The person having the highest number of votes for any municipal office shall be declared elected to such office. In case of a tie vote in the election of any municipal officer, a recount must be conducted pursuant to section 16.1-16-01. If a recount results in a tie vote, the choice must be determined by a drawing of names in the presence of the governing body of the municipality and in a manner it directs. A candidate involved in a tie vote may withdraw the candidate’s name from consideration if the candidate is willing to sign a statement to that effect in the presence of and witnessed by the filing officer of the election. If no candidates remain, the office is to be filled according to the rules for filling an office when a vacancy exists.