SpaceX CEO Elon Musk Bloomberg/Getty Images A version of this story originally appeared in the BI Tech Memo newsletter. Sign up for the weekly BI Tech Memo newsletter here . I went to Anthropic 's developer conference this week with Business Insider's new AI reporter, Stephen Council . He's a terrific writer and a joy to work with, so give him a follow . The big news : Anthropic is renting AI compute from a giant data center run by SpaceX. So if you use Claude because you think it's the most ethical AI chatbot, you now have Elon Musk to thank when it runs smoothly and fast. Hence the edited Claude catchphrase in the photo below. Full disclosure, I used generative AI to change this image to make a newsworthy point and have some fun. Anthropic developer conference in San Francisco.…