The expenses incurred by the state in a proceeding to determine rights to water initiated under RCW
90.03.110 or
90.44.220 or upon appeal of such a determination shall be borne by the state. Subject to the availability of state funding provided either by direct appropriation or funded through the administrative office of the courts for this specific purpose, the county in which an adjudication or a suit to administer an adjudication is being held must be provided the extraordinary costs imposed on the superior court of that county due to the adjudication.