If any platted street, alley, waterway, or other public place is vacated by a replat as provided for in RCW 79.125.080 and 79.125.090, or any new street, alley, waterway, or other public place is so laid out as to leave unsold tidelands or shorelands between a new street, alley, waterway, or other public place, and tidelands or shorelands previously sold, the owner of the adjacent tidelands or shorelands shall have the preference right for sixty days after the final approval of the plat to purchase the unsold tidelands or shorelands so intervening at the appraised value, if otherwise permitted under RCW 79.125.200 to be sold.