Update dependencies from https://github.com/dotnet/arcade build 20240903.1 (#57759)

Microsoft.SourceBuild.Intermediate.arcade , Microsoft.DotNet.Arcade.Sdk , Microsoft.DotNet.Build.Tasks.Installers , Microsoft.DotNet.Build.Tasks.Templating , Microsoft.DotNet.Helix.Sdk , Microsoft.DotNet.RemoteExecutor
 From Version 9.0.0-beta.24429.5 -> To Version 9.0.0-beta.24453.1

Co-authored-by: dotnet-maestro[bot] <dotnet-maestro[bot]@users.noreply.github.com>

Author: dotnet-maestro[bot]

eng/Version.Details.xml

@@ -388,6 +388,7 @@
       <Uri>https://github.com/dotnet/winforms</Uri>
       <Sha>d876f24a18c1ad63690d19ef1e58dc1d8f798d4a</Sha>
     </Dependency>
+<<<<<<< HEAD
     <Dependency Name="Microsoft.DotNet.Arcade.Sdk" Version="10.0.0-beta.24430.1">
       <Uri>https://github.com/dotnet/arcade</Uri>
       <Sha>0ed1d3dc15420cd41c252b0c5d9474f197a29e06</Sha>
@@ -413,6 +414,33 @@
     <Dependency Name="Microsoft.DotNet.RemoteExecutor" Version="10.0.0-beta.24430.1">
       <Uri>https://github.com/dotnet/arcade</Uri>
       <Sha>0ed1d3dc15420cd41c252b0c5d9474f197a29e06</Sha>
+=======
+    <Dependency Name="Microsoft.DotNet.Arcade.Sdk" Version="9.0.0-beta.24453.1">
+      <Uri>https://github.com/dotnet/arcade</Uri>
+      <Sha>dd332f2d4e21daa8b79f84251ab156af9a0b11b2</Sha>
+    </Dependency>
+    <!-- Intermediate is necessary for source build. -->
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.arcade" Version="9.0.0-beta.24453.1">
+      <Uri>https://github.com/dotnet/arcade</Uri>
+      <Sha>dd332f2d4e21daa8b79f84251ab156af9a0b11b2</Sha>
+      <SourceBuild RepoName="arcade" ManagedOnly="true" />
+    </Dependency>
+    <Dependency Name="Microsoft.DotNet.Build.Tasks.Installers" Version="9.0.0-beta.24453.1">
+      <Uri>https://github.com/dotnet/arcade</Uri>
+      <Sha>dd332f2d4e21daa8b79f84251ab156af9a0b11b2</Sha>
+    </Dependency>
+    <Dependency Name="Microsoft.DotNet.Build.Tasks.Templating" Version="9.0.0-beta.24453.1">
+      <Uri>https://github.com/dotnet/arcade</Uri>
+      <Sha>dd332f2d4e21daa8b79f84251ab156af9a0b11b2</Sha>
+    </Dependency>
+    <Dependency Name="Microsoft.DotNet.Helix.Sdk" Version="9.0.0-beta.24453.1">
+      <Uri>https://github.com/dotnet/arcade</Uri>
+      <Sha>dd332f2d4e21daa8b79f84251ab156af9a0b11b2</Sha>
+    </Dependency>
+    <Dependency Name="Microsoft.DotNet.RemoteExecutor" Version="9.0.0-beta.24453.1">
+      <Uri>https://github.com/dotnet/arcade</Uri>
+      <Sha>dd332f2d4e21daa8b79f84251ab156af9a0b11b2</Sha>
+>>>>>>> a21e97ba40 (Update dependencies from https://github.com/dotnet/arcade build 20240903.1 (#57759))
     </Dependency>
     <Dependency Name="Microsoft.Extensions.Diagnostics.Testing" Version="9.0.0-preview.8.24431.1">
       <Uri>https://github.com/dotnet/extensions</Uri>