Does this issue occur when all extensions are disabled?: Yes

• VS Code Version: Code - OSS Dev 1.117.0, commit 50f36fc
• OS Version: Windows_NT x64 10.0.26200

When a marketplace extension is disabled and a dev extension with the same ID is running (via Extension Development Host), the disabled extension incorrectly shows a "Restart Extensions" badge. Clicking this badge removes the dev extension from EDH.

Steps to reproduce:

1. Install extension "foo" from marketplace (e.g. "clangd"), disable it.
2. Open extension "foo" source code in VS Code.
3. Launch Extension Development Host (Run > Start Debugging).

Current behavior:

• In EDH, the disabled marketplace extension shows "Restart Extensions". Clicking the "Restart Extensions" badge removes the dev extension from EDH.

Expected behavior:

• No "Restart Extensions" badge shown.