What is the problem you're trying to solve

In nerdctl, logs are not persisted when containers are restarted or recreated. This behavior is observed in the following scenarios:

• Using nerdctl run followed by nerdctl start -a
• Using nerdctl restart
• Using nerdctl create followed by nerdctl start and nerdctl restart
  In all these cases, only the most recent logs are available after a container restart or recreation.

Describe the solution you'd like

nerdctl should log persist logs similar to Docker and Podman.

Specifically:
Logs should be preserved across container restarts.

When using nerdctl start -a on a previously run container, both old and new logs should be accessible.
The nerdctl restart command should not replace previous logs but append new ones.
Containers created with nerdctl create and then started should maintain their logs across multiple starts.

Additional context

No response