blurry background for video on fulldome using Blender

As mentioned in my last post, tried to get a blurry background effect for the video. Putting a video texture in the Blender World seemed to be the easiest option. As given in this tutorial, the way to do it is to click on World, then on Texture, and then set it to the file which you need. The crucial step is to check all the boxes under Influence:

And to get a blurred effect, the simplest way seemed to be to use the same video, but sampled down to 32x24 pixels, as the World texture.