Any final judgment rendered by said court upon the findings of the court or a jury, shall be the lawful and sufficient condemnation of the land or property to be taken, or of the right to damage the same in the manner proposed, upon the payment of the amount of such findings and all costs which shall be taxed as in other civil cases: PROVIDED, That in case any defendant recovers no award, no costs shall be taxed. Such judgment shall be final and conclusive as to the damages caused by such improvement, unless appellate review is sought, and no review shall delay proceedings under the order of said board if it shall pay into court for the owners and parties interested, as directed by the court, the amount of the judgment and costs; but such board after making such payment into court shall be liable to such owner or owners, or parties interested, for the payment of any further compensation which may at any time be finally awarded to such parties seeking review in said proceeding, and his or her costs, and shall pay the same on the rendition of judgment therefor and abide any rule or order of the court in relation to the matter in controversy. In case of review by the supreme court or the court of appeals of the state, the money so paid into the superior court by the board, as aforesaid, shall remain in the custody of said superior court until the final determination of the proceedings. If the owner of the land, real estate, premises, or other property, accepts the sum awarded by the jury or the court, he or she shall be deemed thereby to have waived conclusively appellate review and final judgment may be rendered in the superior court as in other cases.