Bloomberg/Getty Images This post originally appeared in the Business Insider Today newsletter. You can sign up for Business Insider's daily newsletter here . Anthropic's new technique for nabbing customers: Partner with the companies that own them. The AI giant is rolling out a consulting business with the help of Goldman Sachs, Blackstone, and Hellman & Friedman. That group will serve as the founding partners, but investing giants like General Atlantic, Apollo, and Sequoia Capital are also backers. BI's Alex Nicoll and Reed Alexander have more on what one insider described as the "McKinsey of AI." The company wants to work with everyone from community banks to mid-sized manufacturers who "stand to gain from AI, but lack the in-house resources to build and run frontier deployments," according to Anthropic's news release . And wouldn't you know, Anthropic's biggest rival has the same idea. Bloomberg reported Monday that OpenAI is spinning out its own consulting consortium .…