You will embed the same code in all your environments. Integry will use the same base URL and use the same API key(s) when calling your API endpoints.
If you want different flows to show in different environments, you can tag the flows, and filter on the tag(s) in the embed code.
If you want Integry to consider each environment to be completely separate, you can create additional workspaces. This feature is only available on the Enterprise license.