### 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)

:param external_executor_id: The identifier of the celery executor
        :param session: SQLAlchemy ORM Session
        :return: whether the state was changed to running or not
        """
        task = self.task
        self.refresh_from_task(task, pool_override=pool)
        self.test_mode = test_mode
        self.refresh_from_db(session=session, lock_for_update=True)
        self.job_id = job_id
        self.hostname = get_hostname()
        self.pid = None
        if not ignore_all_deps and not ignore_ti_state and self.state == State.SUCCESS:
            Stats.incr("previously_succeeded", tags=self.stats_tags)
        if not mark_success:
            
            
            non_requeueable_dep_context = DepContext(
                deps=RUNNING_DEPS - REQUEUEABLE_DEPS,
                ignore_all_deps=ignore_all_deps,
                ignore_ti_state=ignore_ti_state,
                ignore_depends_on_past=ignore_depends_on_past,
                wait_for_past_depends_before_skipping=wait_for_past_depends_before_skipping,
                ignore_task_deps=ignore_task_deps,
                description="non-requeueable deps",
            )
            if not self.are_dependencies_met(
                dep_context=non_requeueable_dep_context, session=session, verbose=True
            ):
                session.commit()
                return False