(a) The amount of benefits assessed by the Secretary of the Office of Policy and Management under the provisions of subsections (a) to (c), inclusive, of § 32-658 or reassessed by the court shall constitute a lien upon the real property against which such benefits were assessed from the date such assessment was filed with the clerk of the superior court until the amount thereof has been paid by the owner of such real property to the state, with interest at four per cent per annum, which interest shall commence to accrue from the date of the filing of such assessment. No such lien shall continue against such real property unless notice of the same is filed by the secretary in the office of the town clerk for the town and city of Hartford, or with respect to infrastructure improvements, the town clerk of the municipality in which the real property is located, within sixty days after the filing of such assessment or after the acceptance by the court of such reassessment.

(b) The provisions of this section, subsections (a) to (c), inclusive, of § 32-658 and sections 32-660 and 32-661 shall not apply in the case of any construction of the convention center, the related parking facilities, the on-site related private development or related site preparation or infrastructure improvements for which the town and city of Hartford is liable to pay to the owner any damages or to receive from the owner any benefits except as provided in sections 32-658 to 32-663, inclusive.