What would you like to be added (User Story)?

As an operator, I would like to use the Addon provider for cdk8s (CAAPC), with clusterctl.

Detailed Description

From the official documentation:
cdk8s is a software development framework for defining Kubernetes applications and reusable abstractions using familiar programming languages and rich object-oriented APIs. cdk8s generates pure Kubernetes YAML - you can use cdk8s to define applications for any Kubernetes cluster running anywhere.

The Cluster API Addon provider for cdk8s (CAAPC) with this GitHub repo would benefit from being integrated into the official clusterctl addon provider list.

Anything else you would like to add?

Currently, the addon provider CAAPC is an early stage of development. The first release is a pure alpha, and the project needs some improvements.
I also oriented myself with the implementation around the helm addon provider (CAAPH).

Within the next few days, I will also extend the documentation, code quality, and much more 😄
With this integration to the cluster-api project, I hope to get more feedback, to focus the improvements of the addon provider CAAPC.

Label(s) to be applied

/kind feature