The mediation committee must be comprised of a person appointed by the governor, representatives of the petitioners under section 40-51.2-03 or the protesters under section 40-51.2-07, the involved cities, counties, and townships, and any other parties having an interest in the proposed annexation. The governor’s appointee shall arrange and preside over the meeting and act as mediator at the meeting. The meeting may be continued until a resolution agreeable to all parties is reached or the mediator determines that continued mediation is no longer worthwhile.