### 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_
import dataclasses
import json
import logging
import shutil
import time
from pathlib import Path
from typing import Callable, Dict, Literal, Optional
from localstack import config
from localstack.aws.api.lambda_ import PackageType, Runtime
from localstack.services.awslambda import hooks as lambda_hooks
from localstack.services.awslambda.invocation.executor_endpoint import (
    INVOCATION_PORT,
    ExecutorEndpoint,
    ServiceEndpoint,
)
from localstack.services.awslambda.invocation.lambda_models import IMAGE_MAPPING, FunctionVersion
from localstack.services.awslambda.invocation.runtime_executor import (