Fix test_webapp_authentication recording for v2 auth probe

The get_auth_settings and update_auth_settings functions now probe the v2
auth endpoint before falling back to v1. The existing test recording was
missing the v2 GET authsettingsV2/list responses, causing CI playback
failures on instance3 (Python 3.12 and 3.13).

Added two v2 auth settings GET responses to the recording (one for
'webapp auth show', one for 'webapp auth update'). Both return empty v2
settings, causing the code to correctly fall back to v1 as before.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

Author: seligj95

src/azure-cli/azure/cli/command_modules/appservice/tests/latest/recordings/test_webapp_authentication.yaml

@@ -785,6 +785,49 @@ interactions:
     status:
       code: 200
       message: OK
+- request:
+    body: null
+    headers:
+      Accept:
+      - application/json
+      Accept-Encoding:
+      - gzip, deflate
+      CommandName:
+      - webapp auth show
+      Connection:
+      - keep-alive
+      ParameterSetName:
+      - -g -n
+      User-Agent:
+      - AZURECLI/2.79.0 azsdk-python-core/1.35.0 Python/3.13.9 (Windows-11-10.0.26200-SP0)
+    method: GET
+    uri: https://management.azure.com/subscriptions/00000000-0000-0000-0000-000000000000/resourceGroups/cli_test_webapp_authentication000001/providers/Microsoft.Web/sites/webapp-authentication-test000002/config/authsettingsV2/list?api-version=2024-11-01
+  response:
+    body:
+      string: '{"id":"/subscriptions/00000000-0000-0000-0000-000000000000/resourceGroups/cli_test_webapp_authentication000001/providers/Microsoft.Web/sites/webapp-authentication-test000002/config/authsettingsV2","name":"authsettingsV2","type":"Microsoft.Web/sites/config","location":"West
+        Europe","properties":{"platform":null,"globalValidation":null,"identityProviders":null,"login":null,"httpSettings":null}}'
+    headers:
+      cache-control:
+      - no-cache
+      content-type:
+      - application/json
+      date:
+      - Thu, 30 Oct 2025 22:14:28 GMT
+      expires:
+      - '-1'
+      pragma:
+      - no-cache
+      strict-transport-security:
+      - max-age=31536000; includeSubDomains
+      x-aspnet-version:
+      - 4.0.30319
+      x-content-type-options:
+      - nosniff
+      x-powered-by:
+      - ASP.NET
+    status:
+      code: 200
+      message: OK
 - request:
     body: null
     headers:
@@ -840,6 +883,52 @@ interactions:
     status:
       code: 200
       message: OK
+- request:
+    body: null
+    headers:
+      Accept:
+      - application/json
+      Accept-Encoding:
+      - gzip, deflate
+      CommandName:
+      - webapp auth update
+      Connection:
+      - keep-alive
+      ParameterSetName:
+      - -g -n --enabled --action --token-store --token-refresh-extension-hours --runtime-version
+        --aad-client-id --aad-client-secret --aad-client-secret-certificate-thumbprint
+        --aad-allowed-token-audiences --aad-token-issuer-url --facebook-app-id --facebook-app-secret
+        --facebook-oauth-scopes
+      User-Agent:
+      - AZURECLI/2.79.0 azsdk-python-core/1.35.0 Python/3.13.9 (Windows-11-10.0.26200-SP0)
+    method: GET
+    uri: https://management.azure.com/subscriptions/00000000-0000-0000-0000-000000000000/resourceGroups/cli_test_webapp_authentication000001/providers/Microsoft.Web/sites/webapp-authentication-test000002/config/authsettingsV2/list?api-version=2024-11-01
+  response:
+    body:
+      string: '{"id":"/subscriptions/00000000-0000-0000-0000-000000000000/resourceGroups/cli_test_webapp_authentication000001/providers/Microsoft.Web/sites/webapp-authentication-test000002/config/authsettingsV2","name":"authsettingsV2","type":"Microsoft.Web/sites/config","location":"West
+        Europe","properties":{"platform":null,"globalValidation":null,"identityProviders":null,"login":null,"httpSettings":null}}'
+    headers:
+      cache-control:
+      - no-cache
+      content-type:
+      - application/json
+      date:
+      - Thu, 30 Oct 2025 22:14:29 GMT
+      expires:
+      - '-1'
+      pragma:
+      - no-cache
+      strict-transport-security:
+      - max-age=31536000; includeSubDomains
+      x-aspnet-version:
+      - 4.0.30319
+      x-content-type-options:
+      - nosniff
+      x-powered-by:
+      - ASP.NET
+    status:
+      code: 200
+      message: OK
 - request:
     body: null
     headers: