raise RuntimeError("IOLoop is closed") during script shutdown

**Describe the issue**:
With no success online, I tried to reduce my code to find exactly where the issue is coming from and this is the snippet that I am left with that's causing this error

`raise RuntimeError("IOLoop is closed")`

All my function is doing is setting up a cluster in ECS and tearing it down. The cluster successfully spins up in AWS ECS. The error occurs at the very end when the notebook is shutting down. Stack trace and other details in the thread. (edited)

**Minimal Complete Verifiable Example**:

```
from dotenv import load_dotenv
import os
import logging
from dask_cloudprovider.aws import ECSCluster
from dask.distributed import Client

load_dotenv(verbose=True, override=True)

AWS_ACCOUNT_ID=os.environ["AWS_ACCOUNT_ID"]
AWS_DEFAULT_REGION=os.environ["AWS_DEFAULT_REGION"]
VPC_ID = os.environ["VPC_ID"]
SUBNET_ID = os.environ["SUBNET_ID"]
SECURITY_GROUP = os.environ["SECURITY_GROUP"]

logging.basicConfig(level=logging.INFO)

logging.info("Initializing clusters ...")
with ECSCluster(
cluster_name_template="dask-datascience",
fargate_scheduler=True,
fargate_workers=True,
fargate_spot=True,
vpc=VPC_ID,
subnets=[SUBNET_ID],
security_groups=[SECURITY_GROUP],
worker_cpu=512,
worker_mem=1024,
n_workers=1
) as cluster:
with Client(cluster) as client:
logging.info("Going ....")
```

**Anything else we need to know?**:

Stacktrace
```
INFO:root:Going ....
Traceback (most recent call last):
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 667, in _exitfunc
f()
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 591, in __call__
return info.func(*info.args, **(info.kwargs or {}))
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 358, in sync
return sync(
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 387, in sync
raise RuntimeError("IOLoop is closed")
RuntimeError: IOLoop is closed
Traceback (most recent call last):
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 667, in _exitfunc
f()
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 591, in __call__
return info.func(*info.args, **(info.kwargs or {}))
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 358, in sync
return sync(
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 387, in sync
raise RuntimeError("IOLoop is closed")
RuntimeError: IOLoop is closed
Traceback (most recent call last):
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 667, in _exitfunc
f()
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 591, in __call__
return info.func(*info.args, **(info.kwargs or {}))
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 358, in sync
return sync(
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 387, in sync
raise RuntimeError("IOLoop is closed")
RuntimeError: IOLoop is closed
Traceback (most recent call last):
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 667, in _exitfunc
f()
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 591, in __call__
return info.func(*info.args, **(info.kwargs or {}))
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 358, in sync
return sync(
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 387, in sync
raise RuntimeError("IOLoop is closed")
RuntimeError: IOLoop is closed
Traceback (most recent call last):
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 667, in _exitfunc
f()
File "/Users/afsan.gujarati/.pyenv/versions/3.10.12/lib/python3.10/weakref.py", line 591, in __call__
return info.func(*info.args, **(info.kwargs or {}))
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 358, in sync
return sync(
File "/Users/afsan.gujarati/.pyenv/versions/dask-test/lib/python3.10/site-packages/distributed/utils.py", line 387, in sync
raise RuntimeError("IOLoop is closed")
RuntimeError: IOLoop is closed
```

Package versions:
```
distributed==2023.12.1
dask==2023.12.1
dask_cloudprovider==2022.10.0
tornado==6.3.3
```

**Environment**:

- Dask version: 2023.12.1
- Python version: 3.10.12
- Operating System: Mac OS Sonoma 14.1
- Install method (conda, pip, source): pip

Start with the ECSCluster and Client context-manager example in the issue, then inspect the distributed/utils.py sync path named in the stack trace and its shutdown callers. Reproduce the notebook shutdown with the listed package versions; done means the cluster and client tear down without repeated RuntimeError("IOLoop is closed") traces.

Written by the indexing model from the issue text.