OpenAI is mobilizing consulting partners and touting its compute edge to claw back enterprise customers from Anthropic, as both labs barrel toward potential IPOs. Why it matters: The outcome of this fight could determine which company hits the public markets with momentum, and which has to explain to investors why it's losing ground. Driving the news: OpenAI is working to take market share from Anthropic's enterprise business. The AI lab is engaging several consulting partners to help enterprises deploy and scale Codex, OpenAI's coding tool. Partners will get early access to AI tools in hopes that they can help enterprises "rethink their business processes in the age of AI in a different way," chief revenue officer Denise Dresser told Axios. Zoom out: It's part of OpenAI's broader shift toward enterprise revenue, after Claude Code's mass adoption led to businesses spending more money with Anthropic than OpenAI, per Ramp.…