Switch 202 lro to 201 for agent application and nms routes (#37851)

* Update LRO from 202 to 201, update examples.

* Fix delete response codes

* Fix checks

Author: fmabroukmsft

specification/cognitiveservices/resource-manager/Microsoft.CognitiveServices/preview/2025-10-01-preview/cognitiveservices.json

@@ -5453,8 +5453,11 @@
           }
         ],
         "responses": {
-          "202": {
-            "description": "Accepted",
+          "201": {
+            "description": "Created",
+            "schema": {
+              "$ref": "#/definitions/OutboundRuleBasicResource"
+            },
             "headers": {
               "Location": {
                 "description": "URI to poll for asynchronous operation result.",
@@ -5785,8 +5788,11 @@
           }
         ],
         "responses": {
-          "202": {
-            "description": "Accepted",
+          "201": {
+            "description": "Created",
+            "schema": {
+              "$ref": "#/definitions/ManagedNetworkSettingsPropertiesBasicResource"
+            },
             "headers": {
               "Location": {
                 "description": "URI to poll for asynchronous operation result.",

specification/cognitiveservices/resource-manager/Microsoft.CognitiveServices/preview/2025-10-01-preview/examples/ManagedNetwork/createOrUpdateManagedNetworkV2.json

@@ -22,9 +22,32 @@
     }
   },
   "responses": {
-    "202": {
+    "201": {
       "headers": {
         "Location": "example_location"
+      },
+      "body": {
+        "id": "/subscriptions/00000000-1111-2222-3333-444444444444/resourceGroups/test-rg/providers/Microsoft.CognitiveServices/accounts/cognitive-account-name/managedNetworks/default",
+        "name": "default",
+        "type": "Microsoft.CognitiveServices/accounts/managedNetworks",
+        "properties": {
+          "managedNetwork": {
+            "isolationMode": "AllowOnlyApprovedOutbound",
+            "networkId": "00000000-1111-2222-3333-444444444444",
+            "outboundRules": {
+              "rule_name_1": {
+                "type": "FQDN",
+                "destination": "destination_endpoint",
+                "status": "Active",
+                "category": "UserDefined",
+                "errorInformation": null
+              }
+            },
+            "firewallSku": "Standard",
+            "egressIpAddress": "22.22.131.49"
+          },
+          "provisioningState": "Succeeded"
+        }
       }
     },
     "200": {

specification/cognitiveservices/resource-manager/Microsoft.CognitiveServices/preview/2025-10-01-preview/examples/ManagedNetwork/createOrUpdateRuleV2.json

@@ -16,9 +16,21 @@
     }
   },
   "responses": {
-    "202": {
+    "201": {
       "headers": {
         "Location": "example_location"
+      },
+      "body": {
+        "id": "/subscriptions/00000000-1111-2222-3333-444444444444/resourceGroups/test-rg/providers/Microsoft.CognitiveServices/accounts/cognitive-account-name/managedNetworks/default/outboundRules/rule_name_1",
+        "name": "rule_name_1",
+        "type": "accounts/outboundRules",
+        "properties": {
+          "type": "FQDN",
+          "destination": "destination_endpoint",
+          "status": "Active",
+          "category": "UserDefined",
+          "errorInformation": null
+        }
       }
     },
     "200": {