Switch private build jobs to NetCore1ESPool-Internal pool with custom images

[akoeplinger]

Follow-up to #5113

Internal validation build: https://dev.azure.com/dnceng/internal/_build/results?buildId=2902967&view=results

[LoopedBard3]

I ran another internal test with this PR rebased on main performance repo: __. It seems that both with and without the rebase, the internal runs are hitting issues with android builds:

$ pushd "D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid"
$ dotnet new android --output app --force --name NetAndroidDefault
The template "Android Application" was created successfully.
  $ popd
$ pushd "D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid"
$ dotnet restore D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid\app\NetAndroidDefault.csproj --packages D:\a\_work\1\s\performance\artifacts\packages /p:UseSharedCompilation=false /p:BuildInParallel=false /m:1 -bl:D:\a\_work\1\s\performance\CorrelationStaging\payload\scenarios_out\netandroid\netandroid.mono_Default.binlog-restore.binlog /p:EnableWindowsTargeting=true
  Determining projects to restore...
  Restored D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid\app\NetAndroidDefault.csproj (in 521 ms).
$ popd
$ pushd "D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid"
$ dotnet publish D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid\app\NetAndroidDefault.csproj --configuration Debug /p:NuGetPackageRoot=D:\a\_work\1\s\performance\artifacts\packages\ /p:RestorePackagesPath=D:\a\_work\1\s\performance\artifacts\packages\ /p:UseSharedCompilation=false /p:BuildInParallel=false /m:1 --output D:\a\_work\1\s\performance\CorrelationStaging\payload\scenarios_out\netandroid --runtime android-arm64 --framework net11.0-android /p:UseMonoRuntime=true /p:EmbedAssembliesIntoApk=true -bl:D:\a\_work\1\s\performance\CorrelationStaging\payload\scenarios_out\netandroid\netandroid.mono_Default.binlog --self-contained /p:EnableWindowsTargeting=true
  Determining projects to restore...
  Restored D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid\app\NetAndroidDefault.csproj (in 236 ms).
D:\a\_work\1\s\performance\CorrelationStaging\payload\dotnet\sdk\11.0.100-preview.3.26118.109\Sdks\Microsoft.NET.Sdk\targets\Microsoft.NET.RuntimeIdentifierInference.targets(383,5): message NETSDK1057: You are using a preview version of .NET. See: https://aka.ms/dotnet-support-policy [D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid\app\NetAndroidDefault.csproj]
D:\a\_work\1\s\performance\CorrelationStaging\payload\dotnet\packs\Microsoft.Android.Sdk.Windows\36.1.99-preview.1.120\tools\Xamarin.Android.Tooling.targets(88,5): error XA5207: Could not find android.jar for API level 36. This means the Android SDK platform for API level 36 is not installed; it was expected to be in `C:\Program Files (x86)\Android\android-sdk\platforms\android-36\android.jar`. [D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid\app\NetAndroidDefault.csproj]
D:\a\_work\1\s\performance\CorrelationStaging\payload\dotnet\packs\Microsoft.Android.Sdk.Windows\36.1.99-preview.1.120\tools\Xamarin.Android.Tooling.targets(88,5): error XA5207: You can install the missing API level by running `dotnet build -t:InstallAndroidDependencies -f net11.0-android "-p:AndroidSdkDirectory=C:\Program Files (x86)\Android\android-sdk"`, or change the project to target an API version that is installed. [D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid\app\NetAndroidDefault.csproj]
D:\a\_work\1\s\performance\CorrelationStaging\payload\dotnet\packs\Microsoft.Android.Sdk.Windows\36.1.99-preview.1.120\tools\Xamarin.Android.Tooling.targets(88,5): error XA5207: See https://aka.ms/xa5207 for more details. [D:\a\_work\1\s\performance\CorrelationStaging\payload\performance\src\scenarios\netandroid\app\NetAndroidDefault.csproj]
$ popd

Do you know if there are some internal queues that have the android adk installed?

[LoopedBard3]

From what I can tell, the android SDK is preinstalled in the Github images so we don't currently do anything to install it: https://github.com/actions/runner-images/blob/main/images/windows/Windows2022-Readme.md#android.