Withdrawal or disbursement of moneys deposited in a public depository, as defined in s. 34.01 (5), to the credit of the department or any of its divisions or agencies shall be by check, share draft or other draft signed by the secretary or by one or more persons in the department designated by written authorization of the secretary. Such checks, share drafts and other drafts shall be signed personally or by use of a mechanical device adopted by the secretary or his or her designees for affixing a facsimile signature. Any public depository shall be fully warranted and protected in making payment on any check, share draft or other draft bearing such facsimile signature notwithstanding that the facsimile may have been placed thereon without the authority of the secretary or his or her designees.