If a public nuisance or public health nuisance has neither been abated or removed by the period fixed by the city nor appealed pursuant to § 12.05.01 of this city code, then the city may cause the same to be abated or removed by the city or in any other manner deemed appropriate. The costs and expenses of such abatement or removal, including but not limited to: the city's administrative costs and expenses, such as overheads and allowances for time of city employees, including a minimum inspection charge as set forth in City Code Appendix A and an administrative assessment charge as set forth in City Code Appendix A; expenses of equipment, if used; and sums of money necessarily paid out if done by other than city departments; shall be computed and reported to the City Council. Thereupon, the City Council may adopt an assessment roll levying a special assessment upon such lands and premises, which shall be transmitted to the County Auditor and included with the next tax levy upon such lands and premises and collected in the manner provided by law for the levy and collection of other special assessments.