They can appeal, at the moment - but there's a careful term in the PGI motion, "with prejudice." This means that IF* the judge agrees, and uses that term in his decision, it's over. No further injunctions based on this claim can be made, which would mean that Harmony Gold cannot try suing PGI again for this. It's basically a way to stop frivolous repeat suits from being filed, it's an automatic rejection of any further attempts to bring it up in court. Think of it as the legal equivalent of "You get nothing! You lose! Good day sir!"
*And just to reiterate what doesn't need to be, that's IF. It's up to the wizard** at this point.
**He wears a black robe to work, speaks a strange language that binds us all, and his declaration cannot be challenged. Wizard.