(b) Every person who has furnished labor, material, or rental equipment in the prosecution of the work provided for in such contract, in respect of which such a bond has been furnished under this section and who has not been paid in full therefor before the expiration of a period of ninety days after the day on which the last of the labor was done or performed by him or material or rental equipment was furnished or supplied by him for which such claim is made, shall have the right to sue on such bond for the amount, or the balance thereof, unpaid at the time of the institution of such suit and to prosecute such action to final execution and judgment for the sum or sums justly due him. A remote claimant shall have a right of action upon the bond only upon giving written notice by certified or registered mail to the contractor within ninety days from the date on which such person did or performed the last of the labor or furnished or supplied the last of the material or rental equipment for which claim is made, stating with substantial accuracy the amount claimed and the name of the party to whom material or rental equipment was furnished or supplied or for whom labor was done or performed. However, in no event shall the aggregate amount of any claim against such payment bond by a remote claimant exceed the amount due by the bonded contractor to the person to whom the remote claimant has supplied labor, materials, rental equipment, or services, unless the remote claimant has provided notice of furnishing labor, materials, or rental equipment to the bonded contractor. Such written notice to the bonded contractor must generally conform to the requirements of Section 29-5-20(B) and sent by certified or registered mail to the bonded contractor at any place the bonded contractor maintains a permanent office for the conduct of his business, or at the current address as shown on the records of the Department of Labor, Licensing and Regulation. After receiving the notice of furnishing labor, materials, or rental equipment, no payment by the bonded contractor shall lessen the amount recoverable by the remote claimant. However, in no event shall the aggregate amount of claims on the payment bond exceed the penal sum of the bond. For purposes of this section, "bonded contractor" means the contractor or subcontractor furnishing the payment bond, and "remote claimant" means a person having a direct contractual relationship with a subcontractor or supplier, but no contractual relationship expressed or implied with the bonded contractor. No suit under this section shall be commenced after the expiration of one year after the date of the final settlement of the contract. Any payment bond surety for the bonded contractor must have the same rights and defenses of the bonded contractor as provided in this section.