From what I understand they have... or will have... 2 data centers, the original one ("Colossus 1", the one that is already poisoning Memphis, TN) is the one Anthropic will be using, but they are also building a new one, Colossus 2 for Grok's own use.

All that said, I wasn't aware Grok really had any ground to lose, the only time I ever heard about it is twitter memes and when its getting in trouble for claiming itself "Mecha Hitler" or serving sexualized content.