### Apache Airflow version

Other Airflow 2 version (please specify below)

### What happened

```
$ curl localhost:8080/airflow/
<!doctype html>
<html lang=en>
<title>Redirecting...</title>
<h1>Redirecting...</h1>
<p>You should be redirected automatically to the target URL: <a href="http://localhost:8080/airflow/">http://localhost:8080/airflow/</a>. If not, click the link.
```

### What you think should happen instead

At least not circular redirect.

### How to reproduce

generate yaml:

```
helm template --name-template=airflow  ~/downloads/airflow > airflow.yaml
```

add base_url in webserver section and remove health and ready check in webserver(to keep pod alive):
```
    [webserver]
    enable_proxy_fix = True
    rbac = True
    base_url = http://my.domain.com/airflow/
```

### Operating System

Ubuntu 22.04.2 LTS

### Versions of Apache Airflow Providers

apache-airflow==2.5.3
apache-airflow-providers-amazon==7.3.0
apache-airflow-providers-celery==3.1.0
apache-airflow-providers-cncf-kubernetes==5.2.2
apache-airflow-providers-common-sql==1.3.4
apache-airflow-providers-docker==3.5.1
apache-airflow-providers-elasticsearch==4.4.0
apache-airflow-providers-ftp==3.3.1
apache-airflow-providers-google==8.11.0
apache-airflow-providers-grpc==3.1.0
apache-airflow-providers-hashicorp==3.3.0
apache-airflow-providers-http==4.2.0
apache-airflow-providers-imap==3.1.1
apache-airflow-providers-microsoft-azure==5.2.1
apache-airflow-providers-mysql==4.0.2
apache-airflow-providers-odbc==3.2.1
apache-airflow-providers-postgres==5.4.0
apache-airflow-providers-redis==3.1.0
apache-airflow-providers-sendgrid==3.1.0
apache-airflow-providers-sftp==4.2.4
apache-airflow-providers-slack==7.2.0
apache-airflow-providers-snowflake==4.0.4
apache-airflow-providers-sqlite==3.3.1
apache-airflow-providers-ssh==3.5.0

### Deployment

Official Apache Airflow Helm Chart

### Deployment details

_No response_

### 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)

self.clear_next_method_args()
        self.end_date = timezone.utcnow()
        self._log_state()
        self.set_duration()
        
        
        
        self._run_finished_callback(self.task.on_success_callback, context, "on_success")
        if not test_mode:
            session.add(Log(self.state, self))
            session.merge(self).task = self.task
            if self.state == TaskInstanceState.SUCCESS:
                self._register_dataset_changes(session=session)
                get_listener_manager().hook.on_task_instance_success(
                    previous_state=TaskInstanceState.RUNNING, task_instance=self, session=session
                )
            session.commit()
        return None
    def _register_dataset_changes(self, *, session: Session) -> None:
        for obj in self.task.outlets or []:
            self.log.debug("outlet obj %s", obj)
            
            if isinstance(obj, Dataset):
                dataset_manager.register_dataset_change(
                    task_instance=self,
                    dataset=obj,
                    session=session,
                )
    def _execute_task_with_callbacks(self, context, test_mode=False):