Merged PR 39900: Update dotnet format from internal/release/8.0.1xx

Update dotnet format from internal/release/8.0.1xx

Real build:
https://dev.azure.com/dnceng/internal/_build/results?buildId=2457559&view=results

Author: Cosifne

NuGet.config

@@ -6,8 +6,8 @@
     <add key="darc-pub-dotnet-emsdk-a3c7d82" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-a3c7d820/nuget/v3/index.json" />
     <!--  End: Package sources from dotnet-emsdk -->
     <!--  Begin: Package sources from dotnet-format -->
-    <add key="darc-int-dotnet-format-25d1352" value="https://pkgs.dev.azure.com/dnceng/internal/_packaging/darc-int-dotnet-format-25d13527/nuget/v3/index.json" />
-    <add key="darc-int-dotnet-format-25d1352-1" value="https://pkgs.dev.azure.com/dnceng/internal/_packaging/darc-int-dotnet-format-25d13527-1/nuget/v3/index.json" />
+    <add key="darc-int-dotnet-format-f3db9c5" value="https://pkgs.dev.azure.com/dnceng/internal/_packaging/darc-int-dotnet-format-f3db9c59/nuget/v3/index.json" />
+    <add key="darc-int-dotnet-format-f3db9c5-1" value="https://pkgs.dev.azure.com/dnceng/internal/_packaging/darc-int-dotnet-format-f3db9c59-1/nuget/v3/index.json" />
     <!--  End: Package sources from dotnet-format -->
     <!--  Begin: Package sources from dotnet-aspnetcore -->
     <add key="darc-int-dotnet-aspnetcore-714a976" value="https://pkgs.dev.azure.com/dnceng/internal/_packaging/darc-int-dotnet-aspnetcore-714a9761/nuget/v3/index.json" />
@@ -52,8 +52,8 @@
     <add key="darc-int-dotnet-aspnetcore-714a976" value="true" />
     <!--  End: Package sources from dotnet-aspnetcore -->
     <!--  Begin: Package sources from dotnet-format -->
-    <add key="darc-int-dotnet-format-25d1352-1" value="true" />
-    <add key="darc-int-dotnet-format-25d1352" value="true" />
+    <add key="darc-int-dotnet-format-f3db9c5-1" value="true" />
+    <add key="darc-int-dotnet-format-f3db9c5" value="true" />
     <!--  End: Package sources from dotnet-format -->
     <!--  End: Package sources from dotnet-aspnetcore -->
     <!--  Begin: Package sources from dotnet-runtime -->

eng/Version.Details.xml

@@ -77,9 +77,9 @@
       <Sha>fc5e9eda234e2b69aa479f4f83faddc31fdd4da7</Sha>
       <SourceBuild RepoName="fsharp" ManagedOnly="true" />
     </Dependency>
-    <Dependency Name="dotnet-format" Version="8.1.526602">
+    <Dependency Name="dotnet-format" Version="8.1.527102">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-format</Uri>
-      <Sha>25d135278ea8e6137d2eed8a513f87dd77ec46e4</Sha>
+      <Sha>f3db9c59a54819769154eb5e0fdbc232848b6b9a</Sha>
       <SourceBuild RepoName="format" ManagedOnly="true" />
     </Dependency>
     <Dependency Name="Microsoft.Net.Compilers.Toolset" Version="4.8.0-7.24225.6">

eng/Versions.props

@@ -109,7 +109,7 @@
   </PropertyGroup>
   <PropertyGroup>
     <!-- Dependencies from https://github.com/dotnet/format -->
-    <dotnetformatVersion>8.1.526602</dotnetformatVersion>
+    <dotnetformatVersion>8.1.527102</dotnetformatVersion>
   </PropertyGroup>
   <PropertyGroup>
     <!-- Dependencies from https://github.com/dotnet/roslyn-analyzers -->