For any proposal for a private project where a city or town with a population of under five thousand or a county with a population under eighteen thousand would be the lead agency under WAC 197-11-928 through 197-11-938, and when one or more state agencies are agencies with jurisdiction over the proposal, such local agency may at its option transfer the lead agency duties to that state agency with jurisdiction appearing first on the priority listing in WAC 197-11-936. In such event, the state agency so determined shall be the lead agency and the agency making the transfer shall be an agency with jurisdiction. Transfer is accomplished by the county, city or town transmitting a notice of the transfer together with any relevant information it may have on the proposal to the appropriate state agency with jurisdiction. The local agency making the transfer shall also give notice of the transfer to any private applicant and other agencies with jurisdiction involved in the proposal.