The issue is that authorizing via the Claude Code CLI website doesn't automatically give Clawdbot access. You need to generate a setup-token from the CLI and configure it in Clawdbot.
Run this on your machine where you have the Claude Code CLI installed:
claude setup-token
Then configure it for Clawdbot:
clawdbot models auth setup-token --provider anthropic
Paste the token when prompted. This stores it in Clawdbot's auth store at ~/.clawdbot/agents/main/agent/auth-profiles.json.
The FAQ covers this: https://docs.clawd.bot/start/faq#how-does-anthropic-setup-token-auth-work