fix(ctrl): monitor Pod ready condition

When the user uses a startup probe, the Integration won't turn as running until the condition is reached

Closes apache#4977

pkg/controller/integration/monitor.go

@@ -332,8 +332,8 @@ func (action *monitorAction) updateIntegrationPhaseAndReadyCondition(
 	if done := checkPodStatuses(integration, pendingPods, runningPods); done {
 		return nil
 	}
-	integration.Status.Phase = v1.IntegrationPhaseRunning
 
+	integration.Status.Phase = v1.IntegrationPhaseRunning
 	if done := controller.updateReadyCondition(readyPods); done {
 		return nil
 	}
@@ -390,6 +390,13 @@ func checkPodStatuses(integration *v1.Integration, pendingPods []corev1.Pod, run
 				integration.SetReadyConditionError(terminated.Message)
 				return true
 			}
+			// Check Ready condition (may be used with a startup probe)
+			if ready := kubernetes.GetPodCondition(pod, corev1.PodReady); ready != nil &&
+				ready.Status == corev1.ConditionFalse {
+				integration.Status.Phase = v1.IntegrationPhaseError
+				integration.SetReadyConditionError(ready.Message)
+				return true
+			}
 		}
 	}