### 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_
LambdaRuntimeException,
    RuntimeExecutor,
)
from localstack.services.awslambda.lambda_utils import (
    get_container_network_for_lambda,
    get_main_endpoint_from_container,
)
from localstack.services.awslambda.packages import awslambda_runtime_package
from localstack.utils.container_utils.container_client import (
    ContainerConfiguration,
    PortMappings,
    VolumeBind,
    VolumeMappings,
)
from localstack.utils.docker_utils import DOCKER_CLIENT as CONTAINER_CLIENT
from localstack.utils.net import get_free_tcp_port
from localstack.utils.strings import truncate
LOG = logging.getLogger(__name__)
IMAGE_PREFIX = "public.ecr.aws/lambda/"
RAPID_ENTRYPOINT = "/var/rapid/init"
InitializationType = Literal["on-demand", "provisioned-concurrency"]
LAMBDA_DOCKERFILE = """FROM {base_img}
COPY aws-lambda-rie {rapid_entrypoint}
COPY code/ /var/task
"""
PULLED_IMAGES: set[str] = set()
HOT_RELOADING_ENV_VARIABLE = "LOCALSTACK_HOT_RELOADING_PATHS"
def get_image_name_for_function(function_version: FunctionVersion) -> str:
    return f"localstack/lambda-{function_version.id.qualified_arn().replace(':', '_').replace('$', '_').lower()}"
def get_default_image_for_runtime(runtime: str) -> str: