The PowerServer Web APIs is an ASP.NET Core app; it can be deployed and hosted like any other ASP.NET Core app described in https://docs.microsoft.com/aspnet/core/host-and-deploy/.
This guide takes Docker as an example to show you how to publish and host the Web APIs in a Docker Container; it will reuse part of the configurations in the Quick Start guides, thus, it is strongly recommended that you have completed Quick Start > Guide 1 and Quick Start > Guide 2 first. When it comes to hosting the app static files such as the client app, launcher, & runtime, you can choose to use the same Docker container, a different Docker container, or a separate website.