[Bug] Claude Code shows "Not Configured" while MCP is registered and connected

What happened?

MCP for Unity v10.2.0, Unity 6, Windows 11 Claude Code v2.1.269, HTTP Local transport

The plugin window shows "Not Configured" for Claude Code, but /mcp in Claude Code lists UnityMCP as connected with 48 tools (local scope, project C:\Unity projects\gmtk remaster). Status read-back seems out of sync with the actual config.

Reproduction steps

1. Start Server (HTTP Local), select Claude Code as the client, click Configure - indicator turns green
2. Restart Claude Code, run /mcp - UnityMCP is listed as connected, 48 tools
3. Go back to the MCP for Unity window - indicator is red "Not Configured" again

Connection itself works fine; tools are usable. Only the status indicator is wrong.

Unity version

6000.3.17f1

MCP for Unity package version

10.2.0

Python server version

10.2.0

MCP client

Claude Code

Transport

HTTP (default)

OS

Windows

Relevant logs / console output

Checks

• I searched existing issues and did not find a duplicate
• I included logs / steps to reproduce