[Bug] Computer Use MCP tier guidance references nonexistent mcp__Claude_in_Chrome__* tools

Bug Report

Note: Filed via gh because /feedback is broken — see #41363.

Description

When Computer Use MCP grants browser access at the "read" tier, the tier guidance tells the agent to use mcp__Claude_in_Chrome__* tools for browser interaction. These tools do not exist.

Steps to Reproduce

1. Enable Computer Use MCP
2. Call request_access for Google Chrome
3. Read the tierGuidance in the response

Actual Response

"tierGuidance": "\"Google Chrome\" is a browser — granted at tier \"read\" (visible in
screenshots only; no clicks or typing). For browser interaction, use the Claude-in-Chrome
MCP (tools named `mcp__Claude_in_Chrome__*`; load via ToolSearch if deferred). Do not
attempt to work around this restriction..."

The Problem

1. mcp__Claude_in_Chrome__* tools do not appear in the deferred tools list
2. ToolSearch returns no matches for "Claude_in_Chrome"
3. The "Claude in Chrome" Chrome extension (v1.0.49) is installed but does not expose MCP tools to Claude Code
4. The extension has its own CSP bugs (see #41368)
5. The agent is told to use tools that don't exist, with no fallback

Expected Behavior

Either:

• The referenced mcp__Claude_in_Chrome__* tools should actually exist and work
• Or the tier guidance should not reference tools that don't exist
• Or the user should be able to elevate browser tier when they explicitly choose to

Impact

This creates a dead end: Computer Use says "use these tools instead" → tools don't exist → agent has no path to browser interaction. Combined with Browser MCP instability (#41367), there is currently zero working path for autonomous browser interaction from Claude Code CLI.

Related Issues

• #41363 — /feedback broken (why this is filed via gh)
• #41367 — claude mcp list stale status after MCP server crash
• #41099 — request_access lacks actionable permission guidance
• #41101 — Permissions reset on every CLI update
• #41104 — No Safari browser automation support

Environment

• macOS Darwin 25.2.0
• Claude Code 2.1.88, Opus 4.6
• Claude in Chrome extension v1.0.49