Indestructible item

In Vern, you get a Treasure Map quest item

How do you get rid of the indestructible item? I’d rather not have it permanently take 1 inventory space.

I think I finished the quest, but maybe there’s more.

It unlocks a quest where
1: you talk to some white statue
2: you talk to a Tooki who asks you to go to the Tooki island
3: you talk to some disguised rock/box that asks you to kill 30 Tookis twice.

Any advice for getting rid of the accursed map?

Just in case anyone else needs this, oddly enough, completing this quest removed the indestructible item: