In the event of a subsequent vacancy in the position of Benefit Arbitrator, the procedure in this Section will be followed to fill the vacancy, substituting only the date of such vacancy for the date of ratification of this Agreement, and permitting the party who lost the prior coin flip to strike the first name from the other party’s list of candidates. Either party may dismiss the Benefit Arbitrator between May 1 and June 1 of each calendar year of this Agreement by written notice to the Benefit Arbitrator and the other party.