Cimorene

Oh, no!! I'm so sorry; what a horrendous nuisance that sounds like. D:< I hope you can get everything washed and dried effectively without it taking forever! And wiped, and vacuumed, and so on.

Could you set up a box fan or stand fan in front of the drying racks, to help get things dried faster?

So I guess... the inside of a chest that's been, what, soaked in cedar oil or something?

Generally the chest is made of cedar! Cedar chests have long been used for fabric storage for this reason, and for closets, too. If you have non-cedar wood, though, you might be able to buy those cedar blocks/balls that are made for storage to place inside the closet in several spots?

Some random examples, though unfortunately not from Finnish sources:

https://www.homedepot.com/p/CEDAR-GREEN-Aromatic-Cedar-Blocks-36-Piece-2-5-x1-5-x0-75-C316-3/313214703

https://cedar-sense.com/product/cedar-balls-moth-repellant-all-natural/#tab-description

Hopefully they are available there, too!