[Bug] Can't flush stdout at shutdown

### Expected Behavior

Hello everyone, I have some azure functions that were working for long time and now they stopped, also locally they work fine, so I tried to investigate for the error, I think the error is due to the fact that I created an AzureLogHandler, that's supposed to log some informations to my Azure Log Analytics and the flush is not well supported. I see that your code is calling `sys.stdout.flush()` [here ](https://github.com/Azure/azure-functions-python-worker/blob/8214d0cec972a31ab165dc2f1cf25518bc58ff07/azure_functions_worker/dispatcher.py#L644) but I guess that's not the right way, maybe it should be done calling [logging.shutdown()](https://docs.python.org/3/library/logging.html#logging.shutdown), so that it doesn't fail.

### Actual Behavior

The Azure function is running fine, but at the end I get this error: `Result: Failure Exception: AttributeError: 'PrintLogger' object has no attribute 'flush' Stack: File "/azure-functions-host/workers/python/3.9/LINUX/X64/azure_functions_worker/dispatcher.py", line 643, in _handle__invocation_request sys.stdout.flush()`
I'd like it to stop throwing this error.

### Steps to Reproduce

_No response_

### Relevant code being tried

```shell
from collections import namedtuple
import json
import os
import datetime
from laura.powerbi_pilot import PowerBIPilot
import logging
import azure.functions as func
from opencensus.ext.azure.log_exporter import AzureLogHandler

def get_powerbi_vars(workspace_id):
powerbi_vars = namedtuple("powerbi_vars", [
'appid',
'password',
'tenant_id',
'workspace_id'
])

t = [os.environ['PowerBiSPAppId'],
os.environ['PowerBiSPSecretId'],
os.environ['TenantId'],
workspace_id
]

powerbi_vars = powerbi_vars._make(t)
return powerbi_vars

def main(logdatasetrefreshtimer: func.TimerRequest) -> None:
utc_timestamp = datetime.datetime.utcnow().replace(
tzinfo=datetime.timezone.utc).isoformat()

if logdatasetrefreshtimer.past_due:
logging.info('The timer is past due!')

data_logger = logging.getLogger("data_logging")
data_logger.setLevel(logging.INFO)

logging.info('Fetching APPINSIGHTS key')
app_insights_instr_key = os.environ["APPINSIGHTS_INSTRUMENTATIONKEY"]

logging.info('Adding key to handler')
data_logger.addHandler(AzureLogHandler(
connection_string=f"InstrumentationKey={app_insights_instr_key}")
)

workspaces = list(os.environ["PowerBiWorkspaces"].split(","))

for workspace in workspaces:
logging.info(f"~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Workspace: {workspace}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~")
powerbi_pilot = PowerBIPilot(
powerbi_vars=get_powerbi_vars(workspace_id=workspace))
try:
powerbi_pilot.get_token()
datasets = (json.loads(powerbi_pilot.list_datasets_from_group(powerbi_pilot.workspace_id).content)['value'])
#logging.info(datasets)
for dataset in datasets:
if dataset['name'] not in ["Report Usage Metrics Model","Usage Metrics Report"]:
logging.info(
f"~~~~~~~~~~~~~~ Refresh history dataset: {dataset['id']}: {dataset['name']} ~~~~~~~~~~~~~~")
for refresh in (json.loads(powerbi_pilot.get_refresh_history(dataset['id']).content)['value']):
refresh['dataset'] = dataset['id']
refresh['workspace'] = workspace
data_logger.info(json.dumps(refresh))

except Exception as e:
logging.info(e)
```

### Relevant log output

```shell
06/07/2024, 06:00:09.452
Error
Result: Failure Exception: AttributeError: 'PrintLogger' object has no attribute 'flush' Stack: File "/azure-functions-host/workers/python/3.9/LINUX/X64/azure_functions_worker/dispatcher.py", line 643, in _handle__invocation_request sys.stdout.flush()
06/07/2024, 06:00:09.452
Error
Executed 'Functions.PowerBiLogger' (Failed, Id=6799712d-8639-48e6-85c4-5a506d2a99ab, Duration=9449ms)
06/07/2024, 06:00:09.460
Error
Result: Failure Exception: AttributeError: 'PrintLogger' object has no attribute 'flush' Stack: File "/azure-functions-host/workers/python/3.9/LINUX/X64/azure_functions_worker/dispatcher.py", line 643, in _handle__invocation_request sys.stdout.flush()
```

### requirements.txt file

```shell
azure-functions
requests
databricks-cli
opencensus-ext-azure
pandas
./domains/data_tamers/functions/shared/wheels/laura-0.22.0-py3-none-any.whl
```

### Where are you facing this problem?

Production Environment (explain below)

### Function app name

_No response_

### Additional Information

_No response_