After researching more and figuring out what to search for…
In Kubernetes, the status.phase field within a Pod’s status is a high-level summary of the Pod’s lifecycle state. It indicates whether the Pod is Pending, Running, Succeeded, Failed, or Unknown. The status.phase is not a comprehensive rollup of all container states, but rather a simplified overview.
It sounds like the Ansible job is unable to determine a status from gathered facts.  Now, I am trying to see what info is actually captured in the facts.
This is how I am running my install:
kubectl apply -f storage.yaml
helm install -n awx /root/awx-operator/ -f awxvalues.yaml --generate-name
Here is info about my cluster and helm:
[root@gdev-kube01 awx-operator]# helm version
version.BuildInfo{Version:"v3.14.0", GitCommit:"3fc9f4b2638e76f26739cd77c7017139be81d0ea", GitTreeState:"clean", GoVersion:"go1.21.5"}
[root@gdev-kube01 ~]# kubectl cluster-info
Kubernetes control plane is running at https://x.x.8.37:6443
CoreDNS is running at https://x.x.8.37:6443/api/v1/namespaces/kube-system/services/kube-dns:dns/proxy
[root@gdev-kube01 ~]# kubectl get nodes --show-labels
NAME                    STATUS   ROLES           AGE   VERSION    LABELS
gdev-kube01.gdev.org   Ready    control-plane   18d   v1.28.15   beta.kubernetes.io/arch=amd64,beta.kubernetes.io/os=linux,kubernetes.io/arch=amd64,kubernetes.io/hostname=gdev-kube01.gdev.org,kubernetes.io/os=linux,node-role.kubernetes.io/control-plane=,node.kubernetes.io/exclude-from-external-load-balancers=
gdev-kube02.gdev.org   Ready    <none>          18d   v1.28.15   beta.kubernetes.io/arch=amd64,beta.kubernetes.io/os=linux,kubernetes.io/arch=amd64,kubernetes.io/hostname=gdev-kube02.gdev.org,kubernetes.io/os=linux,node-for=psql
gdev-kube03.gdev.org   Ready    <none>          18d   v1.28.15   beta.kubernetes.io/arch=amd64,beta.kubernetes.io/os=linux,kubernetes.io/arch=amd64,kubernetes.io/hostname=gdev-kube03.gdev.org,kubernetes.io/os=linux
[root@gdev-kube01 awx-operator]# cat Chart.yaml
apiVersion: v2
appVersion: 2.11.0
description: A Helm chart for the AWX Operator
name: awx-operator
type: application
version: 2.11.0
[root@gdev-kube01 ~]# cat storage.yaml
---
apiVersion: storage.k8s.io/v1
kind: StorageClass
metadata:
  annotations:
    storageClass.kubernetes.io/is-default-class: "true"
  name: local-storage
  namespace: awx
provisioner: kubernetes.io/no-provisioner
volumeBindingMode: Immediate
#volumeBindingMode: WaitForFirstConsumer
---
apiVersion: v1
kind: PersistentVolume
metadata:
  name: postgres-pv
  namespace: awx
spec:
  capacity:
    storage: 2Gi
  volumeMode: Filesystem
  accessModes:
  - ReadWriteMany
  persistentVolumeReclaimPolicy: Delete
  storageClassName: local-storage
  local:
    path: /var/lib/postgresql/data
  nodeAffinity:
    required:
      nodeSelectorTerms:
      - matchExpressions:
        - key: kubernetes.io/hostname
          operator: In
          values:
          - gdev-kube01.gdev.org
          - gdev-kube02.gdev.org
          - gdev-kube03.gdev.org
---
apiVersion: v1
kind: PersistentVolumeClaim
metadata:
  name: postgres-13-awx-postgres-13-0
  namespace: awx
spec:
  storageClassName: local-storage
  accessModes:
    - ReadWriteMany
  resources:
    requests:
      storage: 2Gi
[root@gdev-kube01 awx-operator]# kubectl get sc,pv
NAME                                        PROVISIONER                    RECLAIMPOLICY   VOLUMEBINDINGMODE   ALLOWVOLUMEEXPANSION   AGE
storageclass.storage.k8s.io/local-storage   kubernetes.io/no-provisioner   Delete          Immediate           false                  3d21h
NAME                           CAPACITY   ACCESS MODES   RECLAIM POLICY   STATUS   CLAIM                               STORAGECLASS    REASON   AGE
persistentvolume/postgres-pv   2Gi        RWX            Delete           Bound    awx/postgres-13-awx-postgres-13-0   local-storage            3d21h
[root@gdev-kube01 awx-operator]# kubectl get pvc -n awx
NAME                            STATUS   VOLUME        CAPACITY   ACCESS MODES   STORAGECLASS    AGE
postgres-13-awx-postgres-13-0   Bound    postgres-pv   2Gi        RWX            local-storage   3d21h
[root@gdev-kube01 awx-operator]# kubectl describe pvc/postgres-13-awx-postgres-13-0 -n awx
Name:          postgres-13-awx-postgres-13-0
Namespace:     awx
StorageClass:  local-storage
Status:        Bound
Volume:        postgres-pv
Labels:        <none>
Annotations:   pv.kubernetes.io/bind-completed: yes
               pv.kubernetes.io/bound-by-controller: yes
Finalizers:    [kubernetes.io/pvc-protection]
Capacity:      2Gi
Access Modes:  RWX
VolumeMode:    Filesystem
Used By:       awx-postgres-13-0
Events:        <none>
[root@gdev-kube01 awx-operator]# kubectl describe pv/postgres-pv
Name:              postgres-pv
Labels:            <none>
Annotations:       pv.kubernetes.io/bound-by-controller: yes
Finalizers:        [kubernetes.io/pv-protection]
StorageClass:      local-storage
Status:            Bound
Claim:             awx/postgres-13-awx-postgres-13-0
Reclaim Policy:    Delete
Access Modes:      RWX
VolumeMode:        Filesystem
Capacity:          2Gi
Node Affinity:
  Required Terms:
    Term 0:        kubernetes.io/hostname in [gdev-kube01.gdev.org, gdev-kube02.gdev.org, gdev-kube03.gdev.org]
Message:
Source:
    Type:  LocalVolume (a persistent volume backed by local storage on a node)
    Path:  /var/lib/postgresql/data
Events:    <none>
[root@gdev-kube01 ~]# cat awxvalues.yaml
AWX:
  # enable use of awx-deploy template
  enabled: true
  name: awx
  spec:
    replicas: 2
    service_type: NodePort
    nodeport_port: 30080
    admin_user: admin
    hostname: awx.gdev.org
    image: gdev-podman1.gdev.org:5001/quay.io/ansible/awx
    image_version: 23.7.0
    init_container_image: gdev-podman1.gdev.org:5001/quay.io/ansible/awx-ee
    init_container_image_version: latest
    ee_images:
    - name: AWX EE
      image: gdev-podman1.gdev.org:5001/quay.io/ansible/awx-ee:23.7.0
    ee_extra_env: |
      - name: RECEPTOR_KUBE_SUPPORT_RECONNECT
        value: enabled
    postgres_image: gdev-podman1.gdev.org:5001/postgres
    postgres_image_version: "13"
    postgres_selector: |
      nodefor: psql
    control_plane_ee_image: gdev-podman1.gdev.org:5001/quay.io/ansible/awx-ee:23.7.0
    redis_image: gdev-podman1.gdev.org:5001/redis
    redis_image_version: "7"
customVolumes:
  postgres:
    enabled: true
    hostPath: /var/lib/postgresql
    size: 2Gi
    storageClassName: local-storage
  projects:
    enabled: true
    hostPath: /opt/projects/data
    size: 5Gi
[root@gdev-kube01 awx-operator]# kubectl get all -A
NAMESPACE      NAME                                                  READY   STATUS    RESTARTS      AGE
awx            pod/awx-operator-controller-manager-d69fb7c58-lp4c8   2/2     Running   0             3d21h
awx            pod/awx-postgres-13-0                                 0/1     Pending   0             3d17h
kube-flannel   pod/kube-flannel-ds-72gx9                             1/1     Running   0             18d
kube-flannel   pod/kube-flannel-ds-qhn29                             1/1     Running   0             18d
kube-flannel   pod/kube-flannel-ds-v4zpm                             1/1     Running   0             18d
kube-system    pod/coredns-7ddf588b8-fsjpd                           1/1     Running   0             18d
kube-system    pod/coredns-7ddf588b8-pvtft                           1/1     Running   0             18d
kube-system    pod/etcd-gdev-kube01.gdev.org                        1/1     Running   1             18d
kube-system    pod/kube-apiserver-gdev-kube01.gdev.org              1/1     Running   1             18d
kube-system    pod/kube-controller-manager-gdev-kube01.gdev.org     1/1     Running   2 (11d ago)   18d
kube-system    pod/kube-proxy-4tf5z                                  1/1     Running   0             18d
kube-system    pod/kube-proxy-594p9                                  1/1     Running   0             18d
kube-system    pod/kube-proxy-85n5f                                  1/1     Running   0             18d
kube-system    pod/kube-scheduler-gdev-kube01.gdev.org              1/1     Running   2 (11d ago)   18d
NAMESPACE     NAME                                                      TYPE        CLUSTER-IP     EXTERNAL-IP   PORT(S)                  AGE
awx           service/awx-operator-controller-manager-metrics-service   ClusterIP   x,x.173.84   <none>        8443/TCP                 3d21h
awx           service/awx-postgres-13                                   ClusterIP   None           <none>        5432/TCP                 3d21h
default       service/kubernetes                                        ClusterIP   x,x.0.1      <none>        443/TCP                  18d
kube-system   service/kube-dns                                          ClusterIP   x,x.0.10     <none>        53/UDP,53/TCP,9153/TCP   18d
NAMESPACE      NAME                             DESIRED   CURRENT   READY   UP-TO-DATE   AVAILABLE   NODE SELECTOR            AGE
kube-flannel   daemonset.apps/kube-flannel-ds   3         3         3       3            3           <none>                   18d
kube-system    daemonset.apps/kube-proxy        3         3         3       3            3           kubernetes.io/os=linux   18d
NAMESPACE     NAME                                              READY   UP-TO-DATE   AVAILABLE   AGE
awx           deployment.apps/awx-operator-controller-manager   1/1     1            1           3d21h
kube-system   deployment.apps/coredns                           2/2     2            2           18d
NAMESPACE     NAME                                                        DESIRED   CURRENT   READY   AGE
awx           replicaset.apps/awx-operator-controller-manager-d69fb7c58   1         1         1       3d21h
kube-system   replicaset.apps/coredns-7ddf588b8                           2         2         2       18d
NAMESPACE   NAME                               READY   AGE
awx         statefulset.apps/awx-postgres-13   0/1     3d21h
Here is what I am seeing in the log:
[root@gdev-kube01 ~]# kubectl logs -f deploy/awx-operator-controller-manager -n awx
TASK [installer : Get the postgres pod information] ****************************
task path: /opt/ansible/roles/installer/tasks/database_configuration.yml:196
-------------------------------------------------------------------------------
{"level":"info","ts":"2025-04-21T14:29:53Z","logger":"logging_event_handler","msg":"[playbook task start]","name":"awx","namespace":"awx","gvk":"awx.ansible.com/v1beta1, Kind=AWX","event_type":"playbook_on_task_start","job":"5421913118183412794","EventData.Name":"installer : Get the postgres pod information"}
{"level":"info","ts":"2025-04-21T14:29:53Z","logger":"proxy","msg":"cache miss: /v1, Kind=PodList err-Index with name field:status.phase does not exist"}
{"level":"info","ts":"2025-04-21T14:29:53Z","logger":"logging_event_handler","msg":"[playbook task start]","name":"awx","namespace":"awx","gvk":"awx.ansible.com/v1beta1, Kind=AWX","event_type":"playbook_on_task_start","job":"5421913118183412794","EventData.Name":"installer : Wait for Database to initialize if managed DB"}
--------------------------- Ansible Task StdOut -------------------------------
TASK [installer : Wait for Database to initialize if managed DB] ***************
task path: /opt/ansible/roles/installer/tasks/database_configuration.yml:206
-------------------------------------------------------------------------------
{"level":"info","ts":"2025-04-21T14:29:54Z","logger":"proxy","msg":"cache miss: /v1, Kind=PodList err-Index with name field:status.phase does not exist"}