In an election of electors for the President and Vice President of the United States, or a primary for the United States Senate or any statewide office, the proceeding to contest shall be in the Circuit Court of the City of Richmond before a special court composed of the chief judge of such circuit court and two circuit court judges of circuits not contiguous to the City of Richmond appointed by the Chief Justice of the Supreme Court of Virginia, or, in the event of his inability to act, then by the next senior justice, who shall at the time of appointment set the date for trial. If the chief judge of the Circuit Court of the City of Richmond is absent, unable to sit in the proceeding, or recuses himself, the clerk of the court shall at once certify that fact to the Chief Justice. Then the Chief Justice or the associate justice acting in his stead shall appoint a third judge, who shall be, if possible, a judge of the Circuit Court of the City of Richmond or an adjoining circuit. Notwithstanding any provision of this chapter to the contrary: (i) notice of the intent to contest an election of electors for the President and Vice President of the United States shall be filed no later than 5:00 p.m. on the second calendar day after the day the State Board certifies the result of the election under § 24.2-679, but not thereafter; (ii) a copy of the complaint shall be served by the contestant as provided under § 8.01-296 on each contestee and within five calendar days after the Board has certified the results of such election, otherwise the complaint shall not be valid; (iii) the contestee’s answer shall be filed within five calendar days after the complaint is served on him; (iv) the contest shall not wait upon the results of any recount; and (v) the proceedings shall be held promptly and completed, in accordance with the provisions of 3 U.S.C. § 5, at least six days before the time fixed for the meeting of the electors.