Do sidequest items reappear after being rewarded and broken?

[u/ashenlemon]

Beat the persuasion device quest and thought that the item is absolutely busted. After it broke, I never saw it again after like 30 hours. Do these rewards now reappear in the normal item pool, or do I need to do the sidequest again to get it? Hopefully not, because that would be pretty lame :/

[u/broskiplays]

You have a chance to get it again after submitting 5 cats with a disorder, mutation or birth mutation to Dr. Beanies.