Within three days after the expiration of the time for filing a Nominating Petition, any person for the nomination of whom a petition has been filed, may cause his or her name to be withdrawn from nomination by filing a request in writing with the City Clerk. No name so withdrawn shall be printed on the primary nominating election ballot. If after a withdrawal, or by the death or other disqualification of any person for the nomination of whom a petition has been filed, only one candidate remains for any given office, then other nominations for that office may be made by filing petitions within ten days after the expiration of the time for the filing of Nominating Petitions, but no supplement to any Petition shall be allowed.