Clocktower Missing Gear quest item missing from inventory

[Sakujo]

After doing the nightweaver quest, not using the gear on the nest, finishing the boss fight and walking back to the tower, I noticed the gear was missing from my inventory.

Can't redo the clock puzzle, no interact appearing: https://i.imgur.com/VgfOyU8.jpg
Missing in inventory: https://i.imgur.com/988ru77.jpg
Proof that it's not selectable on the tower either: https://i.imgur.com/YfMHiQt.jpg

save files: It's character two with the bow.
https://www.file-upload.net/en/download-15180476/Remnant2_saves_Sakujo.zip.html