The Tailscale Kubernetes operator enables various functionalities, including exposing services in a Kubernetes cluster to a Tailscale network and securely connecting to the Kubernetes control plane via an API server proxy. The operator is currently in private alpha and the setup process involves creating ACL tags, configuring OAuth clients, and applying the operator manifest file to the cluster. It offers different methods to expose services to the Tailscale network, such as load balancer type, annotations, and ingress resources. Additionally, the operator can be used to expose services to the public internet using Tailscale Funnel. Some limitations and considerations are mentioned, such as the need for development builds, lack of automated updates, and restrictions on certain features like MagicDNS resolution.
https://tailscale.com/kb/1236/kubernetes-operator/