Limit PipAuthenticate in Private Project now (#22954)

### Description
Fixes regression in post merge pipeline caused by #22612



### Motivation and Context
So far, there isn't  the artifactFeeds in Public Project

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

@@ -130,10 +130,12 @@ stages:
 
       - template: telemetry-steps.yml
 
-      - task: PipAuthenticate@1
-        displayName: 'Pip Authenticate'
-        inputs:
-          artifactFeeds: 'Lotus'
+      # The private ADO project
+      - ${{ if eq(variables['System.CollectionId'], 'bc038106-a83b-4dab-9dd3-5a41bc58f34c') }}:
+        - task: PipAuthenticate@1
+          displayName: 'Pip Authenticate'
+          inputs:
+            artifactFeeds: 'Lotus'
 
       - ${{ if eq(parameters['buildJava'], 'true') }}:
         - task: JavaToolInstaller@0
@@ -378,10 +380,12 @@ stages:
             addToPath: true
             architecture: ${{ parameters.buildArch }}
 
-        - task: PipAuthenticate@1
-          displayName: 'Pip Authenticate'
-          inputs:
-            artifactFeeds: 'Lotus'
+        # The private ADO project
+        - ${{ if eq(variables['System.CollectionId'], 'bc038106-a83b-4dab-9dd3-5a41bc58f34c') }}:
+          - task: PipAuthenticate@1
+            displayName: 'Pip Authenticate'
+            inputs:
+              artifactFeeds: 'Lotus'
 
         - task: NodeTool@0
           condition: and(succeeded(), eq('${{ parameters.buildNodejs}}', true))