Sync eng/common directory with azure-sdk-tools for PR 7193 (Azure#27559)

* update proxy version to 20231030.1
* update test-proxy-tool.yml to record both stderr and stdout to the proxy log

---------

Co-authored-by: Scott Beddall (from Dev Box) <scbedd@microsoft.com>

Author: azure-sdk

eng/common/testproxy/target_version.txt

@@ -1 +1 @@
-1.0.0-dev.20230912.4
+1.0.0-dev.20231030.1

eng/common/testproxy/test-proxy-tool.yml

@@ -22,7 +22,6 @@ steps:
 
   - pwsh: |
       $version = $(Get-Content "${{ parameters.templateRoot }}/eng/common/testproxy/target_version.txt" -Raw).Trim()
-
       dotnet tool install azure.sdk.tools.testproxy `
         --tool-path $(Build.BinariesDirectory)/test-proxy `
         --add-source https://pkgs.dev.azure.com/azure-sdk/public/_packaging/azure-sdk-for-net/nuget/v3/index.json `
@@ -44,14 +43,14 @@ steps:
 
     - pwsh: |
         Start-Process $(Build.BinariesDirectory)/test-proxy/test-proxy.exe `
-          -ArgumentList "--storage-location ${{ parameters.rootFolder }}" `
+          -ArgumentList "start --storage-location ${{ parameters.rootFolder }} -U" `
           -NoNewWindow -PassThru -RedirectStandardOutput ${{ parameters.rootFolder }}/test-proxy.log
       displayName: 'Run the testproxy - windows'
       condition: and(succeeded(), eq(variables['Agent.OS'],'Windows_NT'), ${{ parameters.condition }})
 
     # nohup does NOT continue beyond the current session if you use it within powershell
     - bash: |
-        nohup $(Build.BinariesDirectory)/test-proxy/test-proxy > ${{ parameters.rootFolder }}/test-proxy.log &
+        nohup $(Build.BinariesDirectory)/test-proxy/test-proxy &>$(Build.SourcesDirectory)/test-proxy.log &
       displayName: "Run the testproxy - linux/mac"
       condition: and(succeeded(), ne(variables['Agent.OS'],'Windows_NT'), ${{ parameters.condition }})
       workingDirectory: "${{ parameters.rootFolder }}"