Update cluster-connect.md

Author: alt-key

articles/azure-arc/kubernetes/cluster-connect.md

@@ -91,34 +91,34 @@ On the existing Arc-enabled cluster, create the ClusterRoleBinding with either M
 - For a Microsoft Entra group account:
 
   ```azurecli
-  AAD_ENTITY_OBJECT_ID=$(az ad signed-in-user show --query id -o tsv)
+  AAD_ENTITY_ID=$(az ad signed-in-user show --query id -o tsv)
   ```
 
 - For a Microsoft Entra single user account:
 
   ```azurecli
-  AAD_ENTITY_OBJECT_ID=$(az ad signed-in-user show --query userPrincipalName -o tsv)
+  AAD_ENTITY_ID=$(az ad signed-in-user show --query userPrincipalName -o tsv)
   ```
 
 - For a Microsoft Entra application:
 
   ```azurecli
-  AAD_ENTITY_OBJECT_ID=$(az ad sp show --id <id> --query id -o tsv)
+  AAD_ENTITY_ID=$(az ad sp show --id <id> --query id -o tsv)
   ```
 
 1. Authorize the entity with appropriate permissions.
 
    - If you're using Kubernetes native ClusterRoleBinding or RoleBinding for authorization checks on the cluster, with the `kubeconfig` file pointing to the `apiserver` of your cluster for direct access, you can create one mapped to the Microsoft Entra entity (service principal or user) that needs to access this cluster. For example:
 
       ```console
-      kubectl create clusterrolebinding demo-user-binding --clusterrole cluster-admin --user=$AAD_ENTITY_OBJECT_ID
+      kubectl create clusterrolebinding demo-user-binding --clusterrole cluster-admin --user=$AAD_ENTITY_ID
       ```
 
    - If you're using Azure RBAC for authorization checks on the cluster, you can create an applicable [Azure role assignment](azure-rbac.md#built-in-roles) mapped to the Microsoft Entra entity. For example:
 
      ```azurecli
-     az role assignment create --role "Azure Arc Kubernetes Viewer" --assignee $AAD_ENTITY_OBJECT_ID --scope $ARM_ID_CLUSTER
-     az role assignment create --role "Azure Arc Enabled Kubernetes Cluster User Role" --assignee $AAD_ENTITY_OBJECT_ID --scope $ARM_ID_CLUSTER
+     az role assignment create --role "Azure Arc Kubernetes Viewer" --assignee $AAD_ENTITY_ID --scope $ARM_ID_CLUSTER
+     az role assignment create --role "Azure Arc Enabled Kubernetes Cluster User Role" --assignee $AAD_ENTITY_ID --scope $ARM_ID_CLUSTER
      ```
 
 #### [Azure PowerShell](#tab/azure-powershell)
@@ -128,35 +128,35 @@ On the existing Arc-enabled cluster, create the ClusterRoleBinding with either M
 - For a Microsoft Entra group account:
 
   ```azurepowershell
-  $AAD_ENTITY_OBJECT_ID = (az ad signed-in-user show --query id -o tsv)
+  $AAD_ENTITY_ID = (az ad signed-in-user show --query id -o tsv)
   ```
 
 - For a Microsoft Entra single user account:
 
   ```azurepowershell
-  $AAD_ENTITY_OBJECT_ID = (az ad signed-in-user show --query userPrincipalName -o tsv)
+  $AAD_ENTITY_ID = (az ad signed-in-user show --query userPrincipalName -o tsv)
   ```
 
 - For a Microsoft Entra application:
 
   ```azurepowershell
-  $AAD_ENTITY_OBJECT_ID = (az ad sp show --id <id> --query objectId -o tsv)
+  $AAD_ENTITY_ID = (az ad sp show --id <id> --query objectId -o tsv)
   ```
 
 1. Authorize the entity with appropriate permissions.
 
    - If you're using native Kubernetes ClusterRoleBinding or RoleBinding for authorization checks on the cluster, with the `kubeconfig` file pointing to the `apiserver` of your cluster for direct access, you can create one mapped to the Microsoft Entra entity (service principal or user) that needs to access this cluster. For example:
 
       ```console
-      kubectl create clusterrolebinding demo-user-binding --clusterrole cluster-admin --user=$AAD_ENTITY_OBJECT_ID
+      kubectl create clusterrolebinding demo-user-binding --clusterrole cluster-admin --user=$AAD_ENTITY_ID
       ```
 
    - If you're using [Azure RBAC for authorization checks](azure-rbac.md) on the cluster, you can create an applicable [Azure role assignment](azure-rbac.md#built-in-roles) mapped to the Microsoft Entra entity. For example:
 
      ```azurepowershell
      
-     az role assignment create --role "Azure Arc Kubernetes Viewer" --assignee $AAD_ENTITY_OBJECT_ID --scope $ARM_ID_CLUSTER
-     az role assignment create --role "Azure Arc Enabled Kubernetes Cluster User Role" --assignee $AAD_ENTITY_OBJECT_ID --scope $ARM_ID_CLUSTER
+     az role assignment create --role "Azure Arc Kubernetes Viewer" --assignee $AAD_ENTITY_ID --scope $ARM_ID_CLUSTER
+     az role assignment create --role "Azure Arc Enabled Kubernetes Cluster User Role" --assignee $AAD_ENTITY_ID --scope $ARM_ID_CLUSTER
      ```
 
 ---