### 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_
LOG.debug(
            "Creating service endpoint for function %s executor %s",
            self.function_version.qualified_arn,
            self.id,
        )
        executor_endpoint = ExecutorEndpoint(self.id, service_endpoint=service_endpoint)
        LOG.debug(
            "Finished creating service endpoint for function %s executor %s",
            self.function_version.qualified_arn,
            self.id,
        )
        return executor_endpoint
    def start(self, env_vars: dict[str, str]) -> None:
        self.executor_endpoint.start()
        network = self._get_network_for_executor()
        container_config = LambdaContainerConfiguration(
            image_name=None,
            name=self.id,
            env_vars=env_vars,
            network=network,
            entrypoint=RAPID_ENTRYPOINT,
            additional_flags=config.LAMBDA_DOCKER_FLAGS,
        )
        if self.function_version.config.package_type == PackageType.Zip:
            if self.function_version.config.code.is_hot_reloading():
                container_config.env_vars[HOT_RELOADING_ENV_VARIABLE] = "/var/task"