Revert windows pool as common pipeline has been updated (Azure#50699)

Author: JoshLove-msft

eng/packages/http-client-csharp-mgmt/ci.yml

@@ -43,10 +43,6 @@ variables:
 extends:
   template: /eng/common/pipelines/templates/archetype-typespec-emitter.yml
   parameters:
-    Pool:
-      name: azsdk-pool
-      image: windows-2022 # Nuget publish requires .NET framework on windows to handle the auth
-      os: windows
     InitializationSteps:
       - template: /eng/pipelines/templates/steps/install-dotnet.yml
     EmitterPackageJsonOutputPath: eng/http-client-csharp-mgmt-emitter-package.json

eng/packages/http-client-csharp/ci.yml

@@ -47,10 +47,6 @@ variables:
 extends:
   template: /eng/common/pipelines/templates/archetype-typespec-emitter.yml
   parameters:
-    Pool:
-      name: azsdk-pool
-      image: windows-2022 # Nuget publish requires .NET framework on windows to handle the auth
-      os: windows
     InitializationSteps:
       - template: /eng/pipelines/templates/steps/install-dotnet.yml
     EmitterPackageJsonOutputPath: eng/http-client-csharp-emitter-package.json