Be it further enacted, That if the county assessment is used for purposes of the city property tax levy, the following rules and regulations shall govern:
(a) Copy county assessments. The director of finance shall cause to be copied the assessments of all property taxable by the city as shown on the county assessment records, or the appropriate county officer, upon agreement with the council, and for a reasonable fee, may furnish a certified copy of such assessments.
(b) Omitted assessments. The director of finance shall have authority to assess any property within the corporate limits, omitted from the county assessment records, subject to appeal to the council within ten (10) days after notice to the taxpayer of such assessment and subject to further appeal to the chancery court within thirty (30) days after a decision by the council, and if either appeal is not taken within such time limits the assessment of the director of finance or of council, as the case may be, shall be final; or omitted assessments may be made under any other applicable general laws of the state.
(c) Levy or taxes. The city shall levy its property tax on all such assessments and including the assessments of public service companies.