No docker is not virtualisation, the poster below is talking about docker for desktop which is a nice gui wrapper around it in a VM, but by definition docke itself does not use any form of virtualisation. If you had a modern Linux server you can install any of the container runtimes, e.g. docker, podman to run containers or something like K3S which is effectively a lightweight kubernetes if you wanted to run a lot of different containers and have a central way of managing them
Create a systemctl service for it, create a cron, or of there is a lot of interconnectivity between your containers look at something like K3S.