### Apache Airflow version

2.6.2

### What happened

All tasks were run 1 time. The try number is 2 for all tasks

### What you think should happen instead

Try number should be 1 if only tried 1 time

### How to reproduce

Run a task and use the UI to look up try number

### Operating System

centos

### Versions of Apache Airflow Providers

_No response_

### Deployment

Virtualenv installation

### 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)

resp = user_client.post(f"delete?dag_id={new_dag_to_delete.dag_id}&next=/home", follow_redirects=True)
    check_content_in_response(f"Deleting DAG with id {new_dag_to_delete.dag_id}.", resp)
@pytest.mark.parametrize("endpoint", ["graph", "tree"])
def test_show_external_log_redirect_link_with_local_log_handler(capture_templates, admin_client, endpoint):
    """Do not show external links if log handler is local."""
    url = f"{endpoint}?dag_id=example_bash_operator"
    with capture_templates() as templates:
        admin_client.get(url, follow_redirects=True)
        ctx = templates[0].local_context
        assert not ctx["show_external_log_redirect"]
        assert ctx["external_log_name"] is None
class _ExternalHandler(ExternalLoggingMixin):
    _supports_external_link = True
    LOG_NAME = "ExternalLog"
    @property
    def log_name(self) -> str:
        return self.LOG_NAME
    def get_external_log_url(self, *args, **kwargs) -> str:
        return "http://external-service.com"
    @property
    def supports_external_link(self) -> bool:
        return self._supports_external_link
@pytest.mark.parametrize("endpoint", ["graph", "tree"])
@unittest.mock.patch(
    "airflow.utils.log.log_reader.TaskLogReader.log_handler",
    new_callable=unittest.mock.PropertyMock,
    return_value=_ExternalHandler(),
)
def test_show_external_log_redirect_link_with_external_log_handler(