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Rent a dedicated server, setup mullvad wireguard on it or whatever. Download stuff to said server using wireguard.

Sure, you can also use Tor. The people engaged in copyright-related illegality generally don't.

But then you need to rent a server without leaving any hint on your real identity. Which means going to some dodgy corners of the internet.

I certainly wouldn't attempt

Depends on your threat model, you'd probably have to be scraping at a pretty large scale for anyone to try pursuing you through vpn providers.

This is unquestionably a large scale.