tabs_context_mcp returns "Browser extension is not connected" despite correct setup

Environment

• OS: Windows 11 Pro 10.0.26200
• Claude Code: CLI (claude.exe at C:\Users\..\.local\bin\claude.exe)
• Chrome extension ID: fcoeoabgfenejglbffodgkkbkcdhcgfn
• Extension status: installed, enabled, logged in with same account

## What's configured correctly

• Native messaging host registered in registry:

HKCU\Software\Google\Chrome\NativeMessagingHosts\com.anthropic.claude_code_browser_extension

• Manifest JSON exists at:

C:\Users\<user>\AppData\Roaming\Claude Code\ChromeNativeHost\com.anthropic.claude_code_browser_extension.json

• .bat wrapper exists at: C:\Users\<user>\.claude\chrome\chrome-native-host.bat
• allowed_origins in manifest matches installed extension ID

## What happens
Every call to mcp__claude-in-chrome__tabs_context_mcp returns:
"Browser extension is not connected. Please ensure the Claude browser extension
is installed and running (https://claude.ai/chrome)..."

## Steps to reproduce

1. Install Claude Code CLI on Windows
2. Install Chrome extension (ID: fcoeoabgfenejglbffodgkkbkcdhcgfn)
3. Log in with same account in both
4. Run any claude-in-chrome MCP tool → "not connected"

## Expected behavior
Tools connect successfully and return tab context.