Update UnbrandedGeneratorVersion to 1.0.0-alpha.20251002.1 (#52986)

* Update UnbrandedGeneratorVersion to 1.0.0-alpha.20251002.1

* fix

* regen

---------

Co-authored-by: Ubuntu <cloudtest@08d7b998c00000U.tkkhlgj2u51eln3mcb0lygmbye.dx.internal.cloudapp.net>
Co-authored-by: jolov <[email protected]>

Author: 3 people

eng/Packages.Data.props

@@ -467,7 +467,7 @@
 
   <PropertyGroup>
     <TestProxyVersion>1.0.0-dev.20250930.1</TestProxyVersion>
-    <UnbrandedGeneratorVersion>1.0.0-alpha.20250929.3</UnbrandedGeneratorVersion>
+    <UnbrandedGeneratorVersion>1.0.0-alpha.20251002.1</UnbrandedGeneratorVersion>
     <AzureGeneratorVersion>1.0.0-alpha.20250929.3</AzureGeneratorVersion>
   </PropertyGroup>
 </Project>

eng/http-client-csharp-emitter-package-lock.json

@@ -2,7 +2,7 @@
   "main": "dist/src/index.js",
   "dependencies": {
     "client-plugin": "file:../../../../eng/packages/plugins/client",
-    "@typespec/http-client-csharp": "1.0.0-alpha.20250929.3"
+    "@typespec/http-client-csharp": "1.0.0-alpha.20251002.1"
   },
   "devDependencies": {
     "@azure-tools/typespec-client-generator-core": "0.60.0",

eng/http-client-csharp-emitter-package.json

@@ -30,8 +30,7 @@ public ClientBuilderExtensionsDefinition(IEnumerable<ClientProvider> publicClien
         {
             _publicClients = publicClients;
             _resourceProviderName = TypeNameUtilities.GetResourceProviderName();
-            AzureClientGenerator.Instance.AddTypeToKeep(this);
-            AzureClientGenerator.Instance.AddNonRootType(this);
+            AzureClientGenerator.Instance.AddTypeToKeep(this, isRoot: false);
         }
 
         protected override string BuildRelativeFilePath() => Path.Combine("src", "Generated", $"{Name}.cs");

eng/packages/http-client-csharp/generator/Azure.Generator/src/Providers/ClientBuilderExtensionsDefinition.cs

@@ -38,7 +38,7 @@
     "dist/generator/**"
   ],
   "dependencies": {
-    "@typespec/http-client-csharp": "1.0.0-alpha.20250929.3"
+    "@typespec/http-client-csharp": "1.0.0-alpha.20251002.1"
   },
   "devDependencies": {
     "@azure-tools/azure-http-specs": "0.1.0-alpha.28",