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The output of Claude is not eligible for copyright protection. I'm not sure how the analogy of bootlegging DVDs would work, given that.

I suppose you are violating the TOS by reselling a service, even if the output can't be claimed as belonging to anyone.

Sure, and Anthropic is allowed to cancel the licenses of people doing that, as they do

You can write anything in TOS, many parts of it is non-enforceable and depends a lot on the local laws.