A lot or parcel of land in a public use belonging to the state or to a county, city, district, or other public corporation, public agent, mandatory of the government, school board, educational, penal or reform institution, or facility for the housing of persons with developmental or intellectual disabilities or mental health disorders in use in the performance of a public function and lying within the district is not subject to assessment unless the consent of its governing body to the assessment is filed with the legislative body at or prior to the confirmation of the assessment. If that consent is filed, the land is subject to assessment in the same manner as other land within the district.