AI Customization does not show the source of built-in MCP servers

[copilot-swe-agent]

Type of Bug

Bug

Description

The AI Customization MCP server details do not identify the source of built-in MCP servers. For file-backed MCP servers, the configuration file can be opened from the details page or through Show Configuration, but built-in servers provide no equivalent source information.

Steps to Reproduce

1. Open the AI Customization editor.
2. Select a built-in MCP server.
3. Inspect its details and the ... menu.

Expected Behavior

The details page clearly identifies that the MCP server is built in and shows its source or provider.

Actual Behavior

No source information is shown for built-in MCP servers.