SAN FRANCISCO—At its Code with Claude developer conference on Wednesday, Anthropic announced a deal with SpaceX to utilize the entire compute capacity of the latters data center in Memphis, Tennessee. On stage at the conference, CEO Dario Amodei said the deal was intended to increase usage limits for Anthropics Pro and Max plan subscribers. The announcement was accompanied by an increase in those usage limits; Anthropic doubled Claude Codes five hour window limits for Pro and Max subscribers,...