When it has been determined that a project labor agreement is appropriate for a particular public works project, the State department, agency, authority, board, or instrumentality responsible for awarding the project shall in good faith negotiate a project labor agreement with labor organizations engaged in the construction industry. If the State department, agency, authority, board, or instrumentality and the labor organizations engaged in the construction industry (“the parties”) cannot agree to the terms of the project labor agreement, the Governor shall appoint a designee to assist the parties in reaching an agreement.