Remove drop-nuget artifact from all pipelines (#18592)

### Description
Currently, the `drop-nuget` artifact only contains protoc.exe which is
also part of the `drop-extra` artifact.



### Motivation and Context
<!-- - Why is this change required? What problem does it solve?
- If it fixes an open issue, please link to the issue here. -->

tools/ci_build/github/azure-pipelines/nuget/templates/test_win.yml

@@ -3,7 +3,7 @@ parameters:
   NugetPackageName : ''
   ArtifactSuffix: ''
   StageSuffix: 'CPU'
-  # For inference packages, the test data artifact name is drop-nuget and no suffix is required.
+  # For inference packages, the test data artifact name is drop-extra and no suffix is required.
   # For training packages, to differentiate the artifact name we add '-training' suffix. This needs to be passed from
   # the parent pipeline.
   TestDataArtifactSuffix: ''
@@ -64,12 +64,6 @@ stages:
         artifactName: drop-signed-nuget-${{ parameters.ArtifactSuffix }}
         targetPath: '$(Build.BinariesDirectory)\nuget-artifact'
 
-    - task: DownloadPipelineArtifact@0
-      displayName: 'Download Pipeline Artifact - testdata'
-      inputs:
-        artifactName: 'drop-nuget${{ parameters.TestDataArtifactSuffix }}'
-        targetPath: '$(Build.BinariesDirectory)\testdata'
-
     - template: get-nuget-package-version-as-variable.yml
       parameters:
         packageFolder: '$(Build.BinariesDirectory)\nuget-artifact'

tools/ci_build/github/azure-pipelines/templates/win-ci.yml

@@ -206,8 +206,7 @@ stages:
             artifactName: 'drop-onnxruntime-nodejs-win-${{ parameters.packageName }}'
             DoEsrp: ${{ parameters.DoEsrp }}
 
-      # Upload protoc.exe, which will be used in nuget build for generating C# files
-      # TODO: We need to make this step independent of the packageName, so that it can be used in test_win.yml
+      #Upload protoc.exe, which will be used in nuget build for generating C# files
       - task: PublishPipelineArtifact@1
         displayName: Publish protoc as drop-extra
         condition: and(succeeded(), or(eq('${{ parameters.packageName}}', 'x64'), eq('${{ parameters.PublishProtoc}}', true)))
@@ -224,14 +223,6 @@ stages:
           Contents: 'custom_op_library.dll'
           TargetFolder: '$(Build.ArtifactStagingDirectory)/testdata'
 
-      #To be used in test_win.
-      # TODO: Do we need to publish protoc twice?
-      - task: PublishPipelineArtifact@1
-        condition: and(succeeded(), or(eq('${{ parameters.packageName}}', 'x64'), eq('${{ parameters.PublishProtoc}}', true)))
-        inputs:
-          targetPath: '$(Build.BinariesDirectory)\RelWithDebInfo\installed\bin\protoc.exe'
-          artifactName: 'drop-nuget${{ parameters.artifact_name_suffix }}'
-
       - task: CmdLine@2
         condition: and(succeeded(), eq('${{ parameters.buildJava}}', true))
         displayName: 'Add symbols and notices to Java'