(I)Except as otherwise provided in subparagraphs (II) and (III) of this paragraph (b), the state claims board created in section 24-30-1508(1), referred to in this paragraph (b) as the board, acting in accordance with its authority under section 24-30-1515, compromises or settles a claim on behalf of the state for the maximum liability limits under this article and determines, in its sole discretion, to recommend to the general assembly that an additional payment be made and the general assembly, by bill, authorizes all or any portion of the additional payment. In determining whether to make such recommendation, the board shall consider interests of fairness, the public interest, and the interests of the state. A recommendation made under this paragraph (b) shall not include payment for noneconomic loss or injury and shall be reduced to the extent the claimant’s loss is or will be covered by another source, including, without limitation, any insurance proceeds that have been paid or will be paid, and no insurer has a right of subrogation, assignment, or any other right against the claimant or the state for any additional payment or any portion of such payment that is approved by the general assembly. Any additional payment or any portion of such payment approved by the general assembly shall be paid from the general fund. For purposes of this paragraph (b), an “additional payment” means the payment to a claimant in excess of the maximum liability limits pursuant to this paragraph (b) that may be authorized by the general assembly upon a recommendation from the board.