### Is there an existing issue for this?

- [X] I have searched the existing issues

### Feature description

We're trying to switch from the old lambda implementation to asf. In the old lambda implementation, when using `LAMBDA_EXECUTOR=docker-reuse`, the lambda container name received a prefix that was equal to that of the local stack container in docker. (This was not the case for all `LAMBDA_EXECUTOR` flavours)

This way, we were able to track the lambda containers that were started for a given localstack instance, print the logs, kill them when necessary.

Request: Would it be possible to prefix the lambda containers with the name of the local stack container itself if present?

### 🧑‍💻 Implementation

_No response_

### Anything else?

_No response_
shutil.copy(src_init, target_init)
    target_init.chmod(0o755)
    
    
    docker_file_path = target_path / "Dockerfile"
    docker_file = LAMBDA_DOCKERFILE.format(
        base_img=resolver.get_image_for_runtime(function_version.config.runtime),
        rapid_entrypoint=RAPID_ENTRYPOINT,
    )
    with docker_file_path.open(mode="w") as f:
        f.write(docker_file)
    try:
        CONTAINER_CLIENT.build_image(
            dockerfile_path=str(docker_file_path),
            image_name=get_image_name_for_function(function_version),
        )
    except Exception as e:
        if LOG.isEnabledFor(logging.DEBUG):
            LOG.exception(
                "Error while building prebuilt lambda image for '%s'",
                function_version.qualified_arn,
            )
        else:
            LOG.error(
                "Error while building prebuilt lambda image for '%s', Error: %s",
                function_version.qualified_arn,
                e,
            )
@dataclasses.dataclass
class LambdaContainerConfiguration(ContainerConfiguration):