DAG on_failure_callback execution not logging

### Apache Airflow version

3.1.6

### If "Other Airflow 3 version" selected, which one?

_No response_

### What happened?

When logging or printing out from DAG on_failure_callback executed code, nothing get logged either in the task log or in the scheduler logs.

### What you think should happen instead?

The DAG on_failure_callback execution should get logs written at least in the scheduler logs.

### How to reproduce

Could run this example DAG that does the on_failure_callback. The file is written, but no logs seen.

```
from airflow.sdk import DAG
from airflow.providers.standard.operators.python import PythonOperator
from datetime import datetime, timedelta
import os

import logging
logger = logging.getLogger(__name__)

name='TEST_PYTHON'

def on_fail(context):
print(f'on_failure_callback called. Context: {context}')
logger.info(f'logger: on_failure_callback called. Context: {context}')
logger.warning(f'logger: on_failure_callback called. Context: {context}')
logger.error(f'logger: on_failure_callback called. Context: {context}')
with open("/tmp/on_fail_output.txt", "w") as f:
f.write("failed")

default_args = {
'owner': 'airflow',
'depends_on_past': False,
'start_date': datetime(2015, 6, 1),
'email_on_failure': False,
'email_on_retry': False,
'retries': 0,
'retry_delay': timedelta(minutes=1),
'type': 'utf-8'
}

dag = DAG(name,
default_args=default_args,
schedule='* * * * *',
on_failure_callback=on_fail
)

previous_task = None

def run_in_task():
raise Exception('The task failed')

for x in range(1, 2):
task = PythonOperator(
task_id = name + '_task' + str(x),
python_callable = run_in_task,
dag = dag)

if previous_task:
task.set_upstream(previous_task)
previous_task = task

```

### Operating System

Debian GNU/Linux 12 (bookworm)

### Versions of Apache Airflow Providers

_No response_

### Deployment

Docker-Compose

### Deployment details

airflow 3.1.6 (Image apache/airflow:3.1.6-python3.12
apache-airflow-providers-standard==1.10.1
apache-airflow-providers-snowflake==6.8.0
apache-airflow-providers-amazon==9.18.1
apache-airflow-providers-google==19.2.0
apache-airflow-providers-microsoft-azure==12.10.0
apache-airflow-providers-odbc==4.11.0
apache-airflow-providers-postgres==6.5.1
apache-airflow-providers-databricks==7.8.1
apache-airflow-task-sdk==1.1.6
apache-airflow-providers-fab==3.1.2

python3.12

### Anything else?

_No response_

### Are you willing to submit PR?

- [ ] Yes I am willing to submit a PR!

### Code of Conduct

- [x] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)