Just like KIND runs containerd inside docker, you can also run dockerd inside containerd backed pods.
Start a privileged pod with the dind image, copy or mount your compose.yaml inside and you should be able to docker compose up and down, all without mounting a socket (that won't exist anyway on containerd CRI nodes)
To go even further, kubevirt runs on kind, launch a VM with your compose file passed in via cloud-init.
Start a privileged pod with the dind image, copy or mount your compose.yaml inside and you should be able to docker compose up and down, all without mounting a socket (that won't exist anyway on containerd CRI nodes)
To go even further, kubevirt runs on kind, launch a VM with your compose file passed in via cloud-init.