I would say yes to be on the safe side, but more like closed toe shoes and rubber sole.
I agree with others that say anything with a rubber sole should be fine.
Its not a must but its recommended
I wore my water shoes, as long as you have shoes with good grip you should be fine.
It's easy to slip in the caves so shoes with good traction is a must.
No you should be okay without them. The caverns are wet. Anything you have with a rubber sole would be great. Really impressive to see them. Definitely worth the effort.
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