Is it possible that Copilot just put Quake's source code into the public domain? From the Copilot FAQ: Who owns the code GitHub Copilot helps me write?

Is it possible that Copilot just put Quake's source code into the public domain? From the Copilot FAQ: Who owns the code GitHub Copilot helps me write? GitHub Copilot is a tool, like a compiler or a pen. The suggestions GitHub Copilot generates, and the code you write with its help, belong to you, and you are responsible for it. We recommend that you carefully test, review, and vet the code, as you would with any code you write yourself. Copilot can probably recite most of Quake's source code and according to the FAQ, the output of Copilot belongs to the user. I think a point where this argumentation might fail is that Quake's source code does not belong to Github directly, but instead both Github and Quake belong to Microsoft. However, I am not a lawyer, so I might be wrong.