(a) At a regular meeting, the commissioners court shall determine the validity of the claim, and if the commissioners court finds that the claim is correct, it shall approve the claim and enter an order of approval in its minutes.
(b) After the claim is approved, it is a valid and subsisting claim against the district and shall be filed with the trustee who shall pay the claim in the order it was filed from the district treasury or from funds collected as liquidation taxes.