bump the versions of MTG and Azure.Generator for mgmt generator (#53450)

Author: ArcturusZhang

eng/Packages.Data.props

@@ -470,6 +470,6 @@
   <PropertyGroup>
     <TestProxyVersion>1.0.0-dev.20250930.1</TestProxyVersion>
     <UnbrandedGeneratorVersion>1.0.0-alpha.20251022.4</UnbrandedGeneratorVersion>
-    <AzureGeneratorVersion>1.0.0-alpha.20251017.2</AzureGeneratorVersion>
+    <AzureGeneratorVersion>1.0.0-alpha.20251022.3</AzureGeneratorVersion>
   </PropertyGroup>
 </Project>

eng/packages/http-client-csharp-mgmt/emitter/src/emitter.ts

@@ -5,18 +5,16 @@ import { EmitContext } from "@typespec/compiler";
 
 import { CodeModel, CSharpEmitterContext } from "@typespec/http-client-csharp";
 
-import {
-  $onEmit as $onAzureEmit,
-  AzureEmitterOptions
-} from "@azure-typespec/http-client-csharp";
+import { $onEmit as $onAzureEmit } from "@azure-typespec/http-client-csharp";
 import {
   azureSDKContextOptions,
   flattenPropertyDecorator
 } from "./sdk-context-options.js";
 import { updateClients } from "./resource-detection.js";
 import { DecoratorInfo } from "@azure-tools/typespec-client-generator-core";
+import { AzureMgmtEmitterOptions } from "./options.js";
 
-export async function $onEmit(context: EmitContext<AzureEmitterOptions>) {
+export async function $onEmit(context: EmitContext<AzureMgmtEmitterOptions>) {
   context.options["generator-name"] ??= "ManagementClientGenerator";
   context.options["update-code-model"] = updateCodeModel;
   context.options["emitter-extension-path"] ??= import.meta.url;

eng/packages/http-client-csharp-mgmt/generator/TestProjects/Local/Mgmt-TypeSpec/src/Generated/Internal/RawRequestUriBuilderExtensions.cs

@@ -37,7 +37,7 @@
     "dist/**"
   ],
   "dependencies": {
-    "@azure-typespec/http-client-csharp": "1.0.0-alpha.20251017.2"
+    "@azure-typespec/http-client-csharp": "1.0.0-alpha.20251022.3"
   },
   "devDependencies": {
     "@azure-tools/azure-http-specs": "0.1.0-alpha.30",
@@ -52,7 +52,7 @@
     "@types/prettier": "^2.6.3",
     "@typespec/compiler": "1.5.0",
     "@typespec/http": "1.5.0",
-    "@typespec/http-client-csharp": "1.0.0-alpha.20251017.1",
+    "@typespec/http-client-csharp": "1.0.0-alpha.20251022.4",
     "@typespec/http-specs": "0.1.0-alpha.27",
     "@typespec/openapi": "1.5.0",
     "@typespec/rest": "0.75.0",