The authority may enter into leases or other agreements for the use of the State Fair Race Track or any other property owned or controlled by the California Exposition and State Fair which are necessary to further the purposes of Section 3331 or to provide horse racing at the State Fair Race Track. A lease or agreement entered into pursuant to this section shall be on behalf of the California Exposition and State Fair, and the State Fair shall continue in control of its property, subject to the conditions and terms of that lease or agreement.