> Looks to me like I can run Claude Code without being able to afford my own datacenter.
Until Anthropic bans you from using their data centers, at which point you cannot run Claude Code at all. Welcome to being a have-not (at least in a world where only genAI-assisted coding is acceptable).
He who controls the GPUs controls the world.
Unlike GPT (I think?), Claude is served by all of AWS/GCP/Azure and you can go buy it from any of them.