1. Take the oauth credentials and roll your own agent -- this is NOT allowed
2. Run your agentic application directly in Claude Code -- this IS allowed
When OpenClaw says "Open-Claw style CLI usage", it means literally running OpenClaw in an official Claude Code session. Anthropic has no problems with this, this is compliant with their ToS.
When you use Claude Code's oauth credentials outside of the claude code cli Anthropic will charge you extra usage (API pricing) within your existing subscription.