备份到云端失败

### Describe the issue

备份到谷歌，微软等云盘失败，跳转登录了，但是拓展里还要登录

### Browser

Edge

### Browser Version

8.0.1

### Extension Version

8.0.1

Reproduce the cloud-backup login flow in Edge using the reported browser and extension versions, checking whether Google or Microsoft authentication returns successfully while the extension remains unauthenticated. Trace the backup and login entry points to identify where the session state is lost; done means cloud backup completes without requesting a second login.

Written by the indexing model from the issue text.