Do you have to have wudhu when only moving a Quran from one shelf to another? Can one use a tissue t

1) If one does not have wudhu, can one touch the Quran mushaf briefly when moving it to another shelf, as part of re-arranging? Or when placing it back onto a shelf? 2) Similarly, when one does not have wudhu, it is permissible to touch the Quran mushaf using a tissue, without direct contact, and then read from the mushaf holding it using a tissue in that way?