Make Nuget workflow easy to debug (#15808)

### Description
Fix the bug in #15693 



### 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. -->

Author: mszhanyi

tools/ci_build/github/azure-pipelines/c-api-noopenmp-packaging-pipelines.yml

@@ -104,6 +104,8 @@ stages:
     AdditionalBuildFlags: ''
     AdditionalWinBuildFlags: '--enable_onnx_tests --enable_wcos'
     BuildVariant: 'default'
+    SpecificArtifact: ${{ parameters.SpecificArtifact }}
+    BuildId: ${{ parameters.BuildId }}
 
 - template: templates/ondevice-training-cpu-packaging-pipeline.yml
   parameters:
@@ -219,26 +221,29 @@ stages:
       submodules: false
     - template: templates/set-version-number-variables-step.yml
 
-    - task: DownloadPipelineArtifact@2
-      displayName: 'Download Pipeline Artifact - Win x64'
-      inputs:
-        buildType: 'current'
-        artifactName: 'drop-onnxruntime-java-win-x64-tensorrt'
-        targetPath: '$(Build.BinariesDirectory)\java-artifact\onnxruntime-java-win-x64'
+    - template: templates/flex-downloadPipelineArtifact.yml
+      parameters:
+        StepName: 'Download Pipeline Artifact - Win x64'
+        ArtifactName: 'drop-onnxruntime-java-win-x64-tensorrt'
+        TargetPath: '$(Build.BinariesDirectory)\java-artifact\onnxruntime-java-win-x64'
+        SpecificArtifact: ${{ parameters.specificArtifact }}
+        BuildId: ${{ parameters.BuildId }}
 
-    - task: DownloadPipelineArtifact@2
-      displayName: 'Download Pipeline Artifact - Linux x64'
-      inputs:
-        buildType: 'current'
+    - template: templates/flex-downloadPipelineArtifact.yml
+      parameters:
+        stepName: 'Download Pipeline Artifact - Linux x64'
         artifactName: 'drop-onnxruntime-java-linux-x64-cuda'
         targetPath: '$(Build.BinariesDirectory)\java-artifact\onnxruntime-java-linux-x64'
+        SpecificArtifact: ${{ parameters.specificArtifact }}
+        BuildId: ${{ parameters.BuildId }}
 
-    - task: DownloadPipelineArtifact@2
-      displayName: 'Download Pipeline Artifact - Linux x64'
-      inputs:
-        buildType: 'current'
-        artifactName: 'drop-onnxruntime-java-linux-x64-tensorrt'
+    - template: templates/flex-downloadPipelineArtifact.yml
+      parameters:
+        StepName: 'Download Pipeline Artifact - Linux x64'
+        ArtifactName: 'drop-onnxruntime-java-linux-x64-tensorrt'
         targetPath: '$(Build.BinariesDirectory)\java-artifact\onnxruntime-java-linux-x64-tensorrt'
+        SpecificArtifact: ${{ parameters.specificArtifact }}
+        BuildId: ${{ parameters.BuildId }}
 
     - task: PowerShell@2
       displayName: 'PowerShell Script'
@@ -766,6 +771,8 @@ stages:
     ArtifactSuffix: 'GPU'
     StageSuffix: 'GPU'
     NugetPackageName : 'Microsoft.ML.OnnxRuntime.Gpu'
+    SpecificArtifact: ${{ parameters.specificArtifact }}
+    BuildId: ${{ parameters.BuildId }}
 
 - template: nuget/templates/dml-vs-2019.yml
   parameters:

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

@@ -4,6 +4,8 @@ parameters:
   NugetPackageName : ''
   StageSuffix: 'CPU'
   NativePackagePrefix: 'onnxruntime'
+  SpecificArtifact: false
+  BuildId: '0'
 
 stages:
 - stage: NuGet_Test_Linux_${{ parameters.StageSuffix }}
@@ -20,19 +22,23 @@ stages:
     variables:
     - name: OnnxRuntimeBuildDirectory
       value: '$(Build.BinariesDirectory)'
-    steps:
 
-    - task: DownloadPipelineArtifact@0
-      displayName: 'Download Signed NuGet'
-      inputs:
-        artifactName: drop-signed-nuget-${{ parameters.ArtifactSuffix }}
-        targetPath: '$(Build.BinariesDirectory)/nuget-artifact'
+    steps:
+    - template: ../../templates/flex-downloadPipelineArtifact.yml
+      parameters:
+        StepName: 'Download Signed NuGet'
+        ArtifactName: drop-signed-nuget-${{ parameters.ArtifactSuffix }}
+        TargetPath: '$(Build.BinariesDirectory)/nuget-artifact'
+        SpecificArtifact: ${{ parameters.SpecificArtifact }}
+        BuildId: ${{ parameters.BuildId }}
 
-    - task: DownloadPipelineArtifact@0
-      displayName: 'Download Linux CustomOp TestData'
-      inputs:
-        artifactName: '${{ parameters.NativePackagePrefix }}-linux-x64'
-        targetPath: '$(Build.BinariesDirectory)/testdata'
+    - template: ../../templates/flex-downloadPipelineArtifact.yml
+      parameters:
+        StepName: 'Download Linux CustomOp TestData'
+        ArtifactName: 'onnxruntime-linux-x64'
+        TargetPath: '$(Build.BinariesDirectory)/testdata'
+        SpecificArtifact: ${{ parameters.specificArtifact }}
+        BuildId: ${{ parameters.BuildId }}
 
     - template: get-nuget-package-version-as-variable.yml
       parameters:

tools/ci_build/github/azure-pipelines/templates/c-api-cpu.yml

@@ -38,6 +38,16 @@ parameters:
   type: string
   default: 'default'
 
+- name: SpecificArtifact
+  displayName: Use Specific Artifact
+  type: boolean
+  default: false
+
+- name: BuildId
+  displayName: Specific Artifact's BuildId
+  type: string
+  default: '0'
+
 stages:
 - template: linux-cpu-packaging-pipeline.yml
   parameters:
@@ -772,6 +782,8 @@ stages:
     AgentPool : aiinfra-Linux-CPU
     NugetPackageName : 'Microsoft.ML.OnnxRuntime'
     ArtifactSuffix: 'CPU'
+    SpecificArtifact: ${{ parameters.SpecificArtifact }}
+    BuildId: ${{ parameters.BuildId }}
 
 - template: ../nuget/templates/test_macos.yml
   parameters:

tools/ci_build/github/azure-pipelines/templates/flex-downloadPipelineArtifact.yml

@@ -0,0 +1,32 @@
+parameters:
+  - name: StepName
+    type: string
+
+  - name: ArtifactName
+    type: string
+
+  - name: TargetPath
+    type: string
+
+  - name: SpecificArtifact
+    type: boolean
+    default: false
+
+  - name: BuildId
+    type: string
+    default: '0'
+
+steps:
+  - task: DownloadPipelineArtifact@2
+    displayName: ${{ parameters.StepName }}}
+    inputs:
+      artifactName: ${{ parameters.ArtifactName}}
+      targetPath: '${{ parameters.TargetPath }}'
+      ${{ if eq(parameters.SpecificArtifact, false)}}:
+        buildType: 'current'
+      ${{ else }}:
+          source: 'specific'
+          project: $(System.TeamProject)
+          pipeline: $(Build.DefinitionName)
+          runVersion: 'specific'
+          buildId: ${{ parameters.BuildId }}