I've always heard not to use a wet paper towel use a dry one to keep from chilling the gosling etc.
@Meri Maura hows the hatch going? and did you read how to care and set up a brooder for this gosling? It was in a link that is here on your post.
I know nothing about incubators but I have seen many who have made their own in emergencies.
Hopefully, this little one will hatch That is a pretty good size egg to be in a bra lol
lots of info on here about raising. https://www.backyardchickens.com/articles/categories/geese.31/