How to pull files from docker?

Question

Computer networks

The essence of the problem: you need to transfer the site from the old server to the new hosting, as far as I could understand the site itself was launched in this very dockere, rummaged through a bunch of sites and did not find how to pull the files themselves out of this "virtual" machine.
I would be grateful for any options and hints, since the site files are no longer available, I read how to transfer the docker machine itself to another server, but this is a bad option because the same problems will follow, how to update the site if no one knows how to work with it. There is root ssh access to the server in terms of accessibility of actions.
Thanks in advance.

Answer 1

View a list of running containers:
Connecting to a container:
Looks at the directory structure, finds where the project is located and remembers its path. Exit the container
Copy the data from the container:

docker cp <container_name>:<пусть к проекту> <путь куда копируем на текущем сервере>

Answer 2

Option #1
Do you have access to the host machine? If so, then run docker cp
Are you connecting inside the virtual machine via SSH? What in that case hinders to copy files from there on scp ?