Onzow Zero Dust - cleaning the cleaner

I've been using the Onzow Zero Dust stylus cleaner for a few weeks and the elastic "element," as they refer to it in the insert, got a bit dirty from the bottom of my Lyra Delos cartridge accidentally coming into contact with it. The insert states that you can "wash it in warm water with a little amount of neutral detergent" and "you can use this stylus tip remover repeatedly." I tried to rinse it with some Penta water but it didn't remove the dirt. Has anyone actually cleaned their Zero Dust with success? If so, how do you do it and dry it? Thanks!