Any town aggrieved by the reclassification of highways as designated on the original official map marked “State of Connecticut, State Highway System, Committee to Reclassify All Public Roads, Edwards and Kelcey-Engineers and Consultants, January 13, 1961″ or by the action taken by the commissioner pursuant to § 13a-42, 13a-43 or 13a-44 may elect to submit the matter to arbitration by a committee of three persons, one to be appointed by such town, one to be appointed by the commissioner and the third to be appointed by the two so appointed by the town and the commissioner. Such election of submission to arbitration shall be made by the town by advising the commissioner in writing within sixty days from the date said commissioner notifies the town of the action taken pursuant to § 13a-42, 13a-43 or 13a-44. The town shall appoint its arbitrator within thirty days after the commissioner advises the town in writing who he has appointed as the state’s arbitrator. If the town does not elect to submit the matter to arbitration or appoint its arbitrator within the time hereinabove provided said action of the commissioner will become final. The provisions of chapter 909 shall apply to arbitration proceedings under the provisions of this section, the cost thereof, exclusive of the cost of expert testimony and other evidence offered by the town involved, to be chargeable to the state. The commissioner shall make such changes in said map as may be decided by arbitration or by appeal therefrom. The submission of a matter to arbitration under the provisions of this section shall stay any action of the commissioner under the provisions of § 13a-16.