[nightly] Update common Docker engineering infrastructure with latest (dotnet#6914)

Author: dotnet-docker-bot

eng/docker-tools/templates/jobs/cg-build-projects.yml

@@ -22,10 +22,10 @@ jobs:
     os: linux
   steps:
   - powershell: >
-      ./eng/docker-tools/Install-DotNetSdk.ps1 -Channel ${{ parameters.dotnetVersionChannel }} -InstallPath "/usr/share/.dotnet"
+      ./eng/docker-tools/Install-DotNetSdk.ps1 -Channel ${{ parameters.dotnetVersionChannel }} -InstallPath "$(Build.SourcesDirectory)/.dotnet"
     displayName: Run Dotnet Install Script
   - script: >
-      find . -name '*.csproj' | grep $(cgBuildGrepArgs) | xargs -n 1 /usr/share/.dotnet/dotnet build
+      find . -name '*.csproj' | grep $(cgBuildGrepArgs) | xargs -n 1 $(Build.SourcesDirectory)/.dotnet/dotnet build
     displayName: Build Projects
 
     # Component Detection is only automatically run on production branches.

eng/docker-tools/templates/stages/dotnet/publish-config-nonprod.yml

@@ -52,7 +52,7 @@ stages:
     publishConfig:
       InternalMirrorRegistry:
         server: $(acr-staging-test.server)
-        repoPrefix: $(mirrorRepoPrefix)
+        repoPrefix: $(internalMirrorRepoPrefix)
         resourceGroup: $(testResourceGroup)
         subscription: $(testSubscription)
         serviceConnection:
@@ -63,6 +63,7 @@ stages:
 
       PublicMirrorRegistry:
         server: $(public-mirror.server)
+        repoPrefix: $(publicMirrorRepoPrefix)
         resourceGroup: $(public-mirror.resourceGroup)
         subscription: $(public-mirror.subscription)
         serviceConnection:

eng/docker-tools/templates/stages/dotnet/publish-config-prod.yml

@@ -52,7 +52,7 @@ stages:
     publishConfig:
       InternalMirrorRegistry:
         server: $(acr-staging.server)
-        repoPrefix: $(mirrorRepoPrefix)
+        repoPrefix: $(internalMirrorRepoPrefix)
         resourceGroup: $(acr-staging.resourceGroup)
         subscription: $(acr-staging.subscription)
         serviceConnection:
@@ -63,7 +63,7 @@ stages:
 
       PublicMirrorRegistry:
         server: $(public-mirror.server)
-        repoPrefix: $(mirrorRepoPrefix)
+        repoPrefix: $(publicMirrorRepoPrefix)
         resourceGroup: $(public-mirror.resourceGroup)
         subscription: $(public-mirror.subscription)
         serviceConnection:

eng/docker-tools/templates/variables/common.yml

@@ -33,8 +33,10 @@ variables:
 - name: officialBranches
   # comma-delimited list of branch names
   value: main
-- name: mirrorRepoPrefix
+- name: internalMirrorRepoPrefix
   value: 'mirror/'
+- name: publicMirrorRepoPrefix
+  value: ''
 - name: cgBuildGrepArgs
   value: "''"
 - name: test.init