Update py-publishing pipeline to use the resoure from packaging pipeline (#20888)

### Description
<!-- Describe your changes. -->



### Motivation and Context
To allow nightly release to be automatic triggered

tools/ci_build/github/azure-pipelines/py-cuda-publishing-pipeline.yml

@@ -1,24 +1,26 @@
+resources:
+  pipelines:
+  - pipeline: build
+    source: 'Python-CUDA-Packaging-Pipeline'
+    trigger:
+      branches:
+        include:
+        - main
+    branch: main
+
 parameters:
-  - name: nightly
-    type: string
-    default: '1'
-  - name: build_id
-    type: string
-    default: 'latest'
-  - name: project
-    type: string
-    default: 'Lotus'
-  - name: pipeline
-    type: string
-    default: 'Python-CUDA-Packaging-Pipeline'
+  - name: isReleaseBuild
+    type: boolean
+    default: false
+
+variables:
+  - name: ArtifactFeed
+    ${{ if eq(parameters.isReleaseBuild, false) }}:
+      value: ort-cuda-12-nightly
+    ${{ else }}:
+      value: onnxruntime-cuda-12
 
 stages:
 - template: stages/py-cuda-publishing-stage.yml
   parameters:
-    build_id: ${{ parameters.build_id }}
-    project: ${{ parameters.project }}
-    pipeline: ${{ parameters.pipeline }}
-    ${{ if ne(parameters.nightly, '1') }}:
-      artifact_feed: onnxruntime-cuda-12
-    ${{ else }}:
-      artifact_feed: ort-cuda-12-nightly
+    artifact_feed: $(ArtifactFeed)

tools/ci_build/github/azure-pipelines/stages/py-cuda-publishing-stage.yml

@@ -1,51 +1,30 @@
 parameters:
-  - name: build_id
-    type: string
-  - name: project
-    type: string
-  - name: pipeline
-    type: string
-  - name: artifact_feed
-    type: string
-    default: 'onnxruntime-cuda-12'
-  - name: dependencies
-    type: string
-    default: 'none'
+- name: artifact_feed
+  type: string
+  default: 'onnxruntime-cuda-12'
 
 stages:
-  - stage: Python_Publishing
-    ${{ if ne(parameters.dependencies, 'none') }}:
-      dependsOn: ${{ parameters.dependencies }}
-    ${{ if eq(parameters.dependencies, 'none') }}:
-      dependsOn: []
-    jobs:
-      - job:
-        pool: 'onnxruntime-Ubuntu2204-AMD-CPU'
-        steps:
-          - checkout: none
-          - task: DownloadPipelineArtifact@2
-            inputs:
-              artifact: 'onnxruntime_gpu'
-              targetPath: '$(Build.SourcesDirectory)/onnxruntime-gpu'
-              ${{ if ne(parameters.build_id, 'latest') }}:
-                buildType: 'specific'
-                project: '${{ parameters.project }}'
-                pipeline: '${{ parameters.pipeline }}'
-                buildVersionToDownload: 'specific'
-                buildId: '${{ parameters.build_id }}'
-            displayName: 'Download Build Artifacts - onnxruntime-gpu'
-          - task: UsePythonVersion@0
-            displayName: 'Use Python 3.x'
-          - script: 'pip install twine==3.4.2'
-            displayName: 'Install Twine'
-          - task: TwineAuthenticate@1
-            displayName: 'Twine Authenticate '
-            inputs:
-              artifactFeed: PublicPackages/${{ parameters.artifact_feed }}
-          - script: 'python -m twine upload -r ${{ parameters.artifact_feed }} --config-file $(PYPIRC_PATH) --non-interactive --skip-existing *.whl'
-            workingDirectory: '$(Build.SourcesDirectory)/onnxruntime-gpu'
-            displayName: 'Uploading wheels to ${{ parameters.artifact_feed }}'
-            retryCountOnTaskFailure: 3
-            env:
-              SYSTEM_ACCESSTOKEN: $(System.AccessToken)
+- stage: Python_Publishing_GPU
+  jobs:
+  - job:
+    pool: 'onnxruntime-Ubuntu2204-AMD-CPU'
+    steps:
+    - checkout: none
+    - download: build
+      displayName: 'Download Pipeline Artifact - onnxruntime_gpu'
+      artifact: 'onnxruntime_gpu'
+    - task: UsePythonVersion@0
+      displayName: 'Use Python 3.x'
+    - script: 'pip install twine==3.4.2'
+      displayName: 'Install Twine'
+    - task: TwineAuthenticate@1
+      displayName: 'Twine Authenticate '
+      inputs:
+        artifactFeed: PublicPackages/${{ parameters.artifact_feed }}
+    - script: 'python -m twine upload -r ${{ parameters.artifact_feed }} --config-file $(PYPIRC_PATH) --non-interactive --skip-existing *.whl'
+      workingDirectory: '$(Pipeline.Workspace)/build/onnxruntime_gpu'
+      displayName: 'Uploading wheels to ${{ parameters.artifact_feed }}'
+      retryCountOnTaskFailure: 3
+      env:
+        SYSTEM_ACCESSTOKEN: $(System.AccessToken)