[BUG] Unused MCP server name replaces session title in status bar

Preflight Checklist

• [x] I have searched existing issues and this hasn't been reported yet
• [x] This is a single bug report (please file separate reports for different bugs)
• [x] I am using the latest version of Claude Code

What's Wrong?

When an MCP server is configured in ~/.claude.json, its name is shown in the status bar of every Claude Code session. This replaces any useful session metadata — the status bar just reads eg "Claude Code (consult-llm-mcp)" with no other information. The MCP server name becomes the only identifying feature of every session.

What Should Happen?

The status bar should show useful session metadata (working directory, task context, etc.). A configured MCP server — especially one that isn't being used — should not dominate or replace the session title.

Error Messages/Logs

Steps to Reproduce

Steps to reproduce

1. Add an MCP server to ~/.claude.json under mcpServers
2. Start multiple Claude Code sessions
3. Every session's status bar shows the MCP server name instead of useful session-identifying information

Claude Model

None

Is this a regression?

I don't know

Last Working Version

_No response_

Claude Code Version

2.1.77

Platform

Anthropic API

Operating System

macOS

Terminal/Shell

iTerm2

Additional Information

Related: #29368, #7830, #11085