Creating a vector tile for a gamecocks background would require using the @mapbox/vector-tile package. Here's a simple example of how you can create and display a vector tile using GeoJSON data:

# Install required packages
npm install geojson-vt @mapbox/vector-tile

# Create a GeoJSON file for gamecocks background
{
  "type": "FeatureCollection",
  "features": [
    {
      "type": "Feature",
      "geometry": {
        "type": "Polygon",
        "coordinates": [[-100, 30], [-90, 30], [-90, 60], [-100, 60], [-100, 30]]
      },
      "properties": {}
    }
  ]
}

# Slice GeoJSON data into vector tiles
geojson-vt slice -o gamecocks.json input.geojson

# Create a vector tile layer using @mapbox/vector-tile
import { VectorTileLayer } from '@mapbox/vector-tile';

// Load the vector tile
const vectorTile = await import('gamecocks.json');

// Create a map and add the vector tile layer
const map = new Map();
map.addLayer(new VectorTileLayer({
  url: 'gamecocks.json',
  tileSize: 512,
  maxZoom: 12,
}));

This example assumes you have a GeoJSON file for your gamecocks background. You can replace input.geojson with the path to your own GeoJSON file.

Please note that this is just an example and might need adjustments based on your specific requirements.