The following Microsoft's web page allows me to legally download Windows 8.1 installation media.
http://windows.microsoft.com/en-us/windows-8/create-reset-refresh-media
My laptop came with Windows 8.1 with Bing (referred to as Bing from now on), but installing Windows 10 Preview messed up the recovery partition. So I cannot reset my laptop to the factory default (Bing). My laptop did not come with any external recovery media such as a DVD or USB flash drive. The manufacturer does not allow me to download the recovery partition either.
As far as I know, the product key for Bing is embedded in the bios of my laptop, so I think it should be legal that I use an installation media downloaded from Microsoft. But the problem is, when I executed Windows Installation Media Creation Tool, I could not find Bing. The closest thing was Windows 8.1 (this should be the Core Edition which is functionally the same as Bing).
The tool says about 4 hours left. So I am not sure whether the media would automatically detect Bing. Is there any official way to create a media for Bing?