To create a diffusion background with a vector product, you can use the @mapbox/vector-tile library. Here's a brief snippet to get you started:

import { VectorTile } from '@mapbox/vector-tile';

const tile = new VectorTile('https://example.com/tiles/your-vector-tile.json');

This will load a vector tile and display it as the background.

Alternatively, if you want to use Expo, you can use the @expo/vector-icons library to create an icon-based wallpaper. However, this won't give you the exact result you're looking for.

To achieve the desired PNG wallpaper with a diffusion background, you might need to explore other libraries or tools that specialize in image processing and generation.