In the event that it shall be determined to vacate such street, avenue, public way or portion thereof, and if any claim or claims for damages by reason thereof shall have been filed as provided in section 6-2-3 of this chapter, the mayor shall appoint five (5) disinterested persons who shall, before the passage of such vacation ordinance, assess and determine what, if any, damage will be caused to the property of each objector and shall immediately file with the city clerk a report of their findings stating the amount of each item of damage. (1983 Code § 12.08.040)