If you want, you can easily connect multiple WooCommerce stores to your Katana account.
Just head to the Integrations Marketplace, search for "WooCommerce" and click Connect on the app that shows up in results.
You can create a dedicated location for each WooCommerce store. These locations can be mapped to your WooCommerce stores during the integration setup. Orders and inventory levels are synced between mapped locations and stores. Read more.
If you don't have multiple locations in Katana or if you map multiple WooCommerce stores to the same Katana location, the integration works the same way for each store. Sales order sync, product and customer import/matching, and stock sync work identically for all stores. For example, if the same product (i.e. same SKU code) exists at multiple stores, the stock levels will be synced from Katana to all the WooCommerce stores that include that product.