### 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:
                    xcom_sidecar_output = self.extract_xcom(pod=pod)
                    pod = self.pod_manager.await_pod_completion(pod)
                    
                    
                    remote_pod = pod
                    return xcom_sidecar_output
        finally:
            if pod is not None and remote_pod is not None:
                self.post_complete_action(
                    pod=pod,
                    remote_pod=remote_pod,
                )
    def write_logs(self, pod: k8s.V1Pod):
        try:
            logs = self.pod_manager.read_pod_logs(
                pod=pod,
                container_name=self.base_container_name,
                follow=False,
            )
            for raw_line in logs:
                line = raw_line.decode("utf-8", errors="backslashreplace").rstrip("\n")
                self.log.info("Container logs: %s", line)
        except HTTPError as e:
            self.log.warning(
                "Reading of logs interrupted with error %r; will retry. "
                "Set log level to DEBUG for traceback.",
                e,
            )
    def post_complete_action(self, *, pod, remote_pod, **kwargs):