GitHub Actions extension fails with "Unable to connect to the GitHub API" in .code-workspace (works with Open Folder)

使用报告的 multi-root .code-workspace 重现该故障，并将其与通过 Open Folder 打开同一 repository 的情况进行比较。跟踪扩展在 workspace-mode 下的 repository 解析和激活路径；当 GitHub Actions workflows 和 runs 在两种模式下都能加载且不出现 API 连接错误时，即表示完成。

Description

When I open the same repository via a multi-root .code-workspace, the GitHub Actions extension shows:

Unable to connect to the GitHub API, please check internet connection

If I open the repository directly with File → Open Folder, the extension works normally (workflows/runs load, authentication is fine).

This appears specific to workspace-mode repository resolution/activation, not network connectivity.

Steps to reproduce

1. Create/open a multi-root workspace that includes this repo as a root:
   • c:\Users\<user>\Source\loom-workbench (plus other roots in workspace)
2. Open VS Code using the .code-workspace file.
3. Open the GitHub Actions view.
4. Observe error: "Unable to connect to the GitHub API, please check internet connection".
5. Close VS Code.
6. Reopen only c:\Users\<user>\Source\loom-workbench via Open Folder.
7. GitHub Actions extension works correctly.

Expected behavior

The extension should authenticate and connect to GitHub API the same way in both:

• Open Folder mode
• .code-workspace (multi-root) mode

Actual behavior

• Open Folder: Works
• .code-workspace: Fails with API connection error

Environment

• Version: 1.125.1 (user setup)
• Commit: fcf604774b9f2674b473065736ee75077e256353
• Date: 2026-06-19T08:39:34Z
• Electron: 42.2.0
• ElectronBuildId: 14159160
• Chromium: 148.0.7778.97
• Node.js: 24.15.0
• V8: 14.8.178.14-electron.0
• OS: Windows_NT x64 10.0.26200

Additional context

• Internet connectivity is fine.
• Authentication/session is valid (confirmed by successful behavior in Open Folder mode).
• Reproducible consistently with the same repository and machine.