The commissioner of public lands in his discretion and after investigation of the facts may withhold approval of application to lease any land which at any time is open and unleased for grazing purposes, whether now owned, or hereafter acquired, by the state of New Mexico, which land is located within the duly permitted individual Taylor grazing allotment of another; provided, however, that the holder of such allotment permit, after reasonable notice, shall make application therefor.