Sync eng/common directory with azure-sdk-tools for PR 9793 (Azure#44074)

* Update pipeline generate

Includes fix Azure/azure-sdk-tools#9784

* Update eng/common/pipelines/templates/steps/install-pipeline-generation.yml

---------

Co-authored-by: Wes Haggard <[email protected]>

Author: azure-sdk

eng/common/pipelines/templates/steps/install-pipeline-generation.yml

@@ -9,7 +9,7 @@ steps:
   - script: >
       dotnet tool install
       Azure.Sdk.Tools.PipelineGenerator
-      --version 1.1.0-dev.20241204.1
+      --version 1.1.0-dev.20250206.1
       --add-source https://pkgs.dev.azure.com/azure-sdk/public/_packaging/azure-sdk-for-net/nuget/v3/index.json
       --tool-path ${{parameters.ToolPath}}
     workingDirectory: $(Pipeline.Workspace)/pipeline-generator