(f) ADJOURNMENT BY GOVERNOR. If, during any regular or special session, the two houses cannot agree upon a time for adjournment, the governor may adjourn the session sine die or to any date within the period authorized for such session; provided that, at least twenty-four hours before adjourning the session, and while neither house is in recess, each house shall be given formal written notice of the governor's intention to do so, and agreement reached within that period by both houses on a time for adjournment shall prevail.