"Bank" means and includes all commercial banks, mutual savings bank, savings and loan associations, credit unions, trust companies and any other type or form of banking institution organized under the authority of the state of Washington or the United States of America whose principal place of business is within the state of Washington and is designated to perform such functions, activities, or service in connection with the operations of the lottery for the deposit and handling of lottery funds, the accounting thereof and the safekeeping of tickets and records.