Assessing district officials will submit a notice of intention to make improvements, together with an estimate of the amount to be charged to each lot, tract or parcel of land or other properties owned by the state to be assessed for such improvements, and such notice shall be forwarded by registered or certified mail to the director and to the agency head of state government occupying or having jurisdiction over such lands at least thirty days prior to the date fixed for the hearing of the resolution or petition initiating such improvements. In the case of irrigation districts where state lands are situated in or to be taken into an irrigation district, the commissioner of public lands shall be served with a copy of the petition proposing to include such lands as is prescribed by RCW 87.03.025.