The resolution of a district school board providing for the imposition of the school capital outlay surtax authorized in s. 212.055(6) may include a covenant by the district school board to decrease the capital local school property tax levied pursuant to s. 1011.71(2) and to maintain that tax at the reduced millage as long as the surtax is in effect. The resolution may also provide that the surtax shall sunset on December 31 of any year in which the district school board levies the capital property tax under s. 1011.71(2) at a millage rate in excess of the reduced millage rate promised in the resolution. Finally, if the surtax revenues are pledged to service bonded indebtedness, the district school board may covenant not to levy the capital property tax under s. 1011.71(2) at a millage rate in excess of the reduced millage rate promised in the resolution.