MCP server shows "connected" but browser automation tools return "Browser extension is not connected"

## Environment

• OS: Windows
• Claude extension chat: Works ✓
• MCP status in Claude Code: "claude-in-chrome · √ connected"
• Browser automation: Fails

## Console errors (claude.ai)

• CSP violations for a-api.anthropic.com
• 429 errors on sentry

## Steps tried

• Restarted Chrome multiple times
• Extension enabled on all sites
• Confirmed extension installed and working for chat