Update dependencies from https://github.com/dotnet/icu build 20251115.1

On relative base path root
Microsoft.NETCore.Runtime.ICU.Transport From Version 8.0.0-rtm.25522.4 -> To Version 8.0.0-rtm.25565.1

Author: dotnet-maestro[bot]

NuGet.config

@@ -9,6 +9,7 @@
     <clear />
     <!--Begin: Package sources managed by Dependency Flow automation. Do not edit the sources below.-->
     <!--  Begin: Package sources from dotnet-emsdk -->
+    <add key="darc-pub-dotnet-emsdk-9e37ff5" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-9e37ff5e/nuget/v3/index.json" />
     <!--  End: Package sources from dotnet-emsdk -->
     <!--  Begin: Package sources from dotnet-sdk -->
     <!--  End: Package sources from dotnet-sdk -->

eng/Version.Details.xml

@@ -1,8 +1,8 @@
 <Dependencies>
   <ProductDependencies>
-    <Dependency Name="Microsoft.NETCore.Runtime.ICU.Transport" Version="8.0.0-rtm.25522.4">
+    <Dependency Name="Microsoft.NETCore.Runtime.ICU.Transport" Version="8.0.0-rtm.25565.1">
       <Uri>https://github.com/dotnet/icu</Uri>
-      <Sha>889994ebb9fa2ba6183182bba33b260c645a8089</Sha>
+      <Sha>b565264ebc86c4444a7a5d411f69674393d61265</Sha>
     </Dependency>
     <Dependency Name="System.Net.MsQuic.Transport" Version="8.0.0-alpha.1.23527.1">
       <Uri>https://github.com/dotnet/msquic</Uri>

eng/Versions.props

@@ -229,7 +229,7 @@
     <!-- ILCompiler -->
     <MicrosoftDotNetILCompilerVersion>8.0.0-rc.1.23406.6</MicrosoftDotNetILCompilerVersion>
     <!-- ICU -->
-    <MicrosoftNETCoreRuntimeICUTransportVersion>8.0.0-rtm.25522.4</MicrosoftNETCoreRuntimeICUTransportVersion>
+    <MicrosoftNETCoreRuntimeICUTransportVersion>8.0.0-rtm.25565.1</MicrosoftNETCoreRuntimeICUTransportVersion>
     <!-- MsQuic -->
     <MicrosoftNativeQuicMsQuicSchannelVersion>2.4.8</MicrosoftNativeQuicMsQuicSchannelVersion>
     <!-- Mono LLVM -->