### Apache Airflow version

2.5.2

### What happened

Not sure if this is a feature not a bug, but I can use KubernetesPodOperator fine without setting a kubernetes_conn_id.
For example:
```
start = KubernetesPodOperator(
        namespace="mynamespace",
        cluster_context="mycontext",
        security_context={ 'runAsUser': 1000 },
        name="hello",
        image="busybox",
        image_pull_secrets=[k8s.V1LocalObjectReference('prodregistry')],
        cmds=["sh", "-cx"],
        arguments=["echo Start"],
        task_id="Start",
        in_cluster=False,
        is_delete_operator_pod=True,
        config_file="/home/airflow/.kube/config",
    )
```

But if I add deferrable=True to this it won't work. It seems to require an explicit kubernetes_conn_id (which we don't configure).

Is not possible to the deferrable version to work as the non deferrable one?

### What you think should happen instead

I hoped that kpo deferrable would work the same as non deferrable.

### How to reproduce

Use KPO with deferrable=True but no kubernetes_conn_id setting

### Operating System

Debian 11

### Versions of Apache Airflow Providers

_No response_

### 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)

if self.do_xcom_push:
            self.log.debug("Adding xcom sidecar to task %s", self.task_id)
            pod = xcom_sidecar.add_xcom_sidecar(
                pod,
                sidecar_container_image=self.hook.get_xcom_sidecar_container_image(),
                sidecar_container_resources=self.hook.get_xcom_sidecar_container_resources(),
            )
        labels = self._get_ti_pod_labels(context)
        self.log.info("Building pod %s with labels: %s", pod.metadata.name, labels)
        
        pod.metadata.labels.update(labels)
        
        
        pod.metadata.labels.update(
            {
                "airflow_version": airflow_version.replace("+", "-"),
                "airflow_kpo_in_cluster": str(self.hook.is_in_cluster),
            }
        )
        pod_mutation_hook(pod)
        return pod
    def dry_run(self) -> None:
        """
        Prints out the pod definition that would be created by this operator.
        Does not include labels specific to the task instance (since there isn't
        one in a dry_run) and excludes all empty elements.
        """
        pod = self.build_pod_request_obj()
        print(yaml.dump(prune_dict(pod.to_dict(), mode="strict")))
class _optionally_suppress(AbstractContextManager):