After the assessment of damages and benefits provided for in subsections (a) to (c), inclusive, of section 32-658 has been filed with the clerk of the superior court, the property owner affected may file with said clerk written acceptance thereof. Said clerk shall thereupon notify the State Comptroller and the Secretary of the Office of Policy and Management of such acceptance. If the amount to be paid by the state for such real property, after deducting any benefits which have been assessed, does not exceed fifteen thousand dollars, said clerk shall send a certified copy of the assessment and the acceptance thereof to the secretary and the Comptroller, and the Comptroller shall, upon receipt thereof, draw an order on the Treasurer in favor of such property owner for the amount due the owner under such assessment. If the amount of such assessment, after deducting any such benefits, exceeds fifteen thousand dollars, said clerk shall not certify the same to the Comptroller until the assessment has been approved as reasonable in amount by a trial referee. If such trial referee approves the assessment, the clerk shall thereupon send a certified copy of the assessment and the acceptance and a certificate that the same has been approved to the secretary and to the Comptroller, and the Comptroller shall, upon receipt thereof, draw an order on the Treasurer in favor of such property owner for the amount due the owner on such assessment. If the trial referee does not approve such assessment, the clerk shall notify the Attorney General and the secretary and the latter may file an amended assessment.