It’s not a good idea, it will end up filling the enclosure with fog and it’s basically extreme humidity until it settles down which is not good for your bp, it can cause respiratory issues. Try using a larger water bowl, or if you’ve got a screen lit try to find a way to cover it until you can hold the humidity you want.
don’t use tape or any other adhesive to stick anything to the lid, might even be able to get a solid lid depending.