Update dependencies from https://dev.azure.com/dnceng/internal/_git/dotnet-optimization build 20250506.1 (#18615)

optimization.linux-arm64.MIBC.Runtime , optimization.linux-x64.MIBC.Runtime , optimization.windows_nt-arm64.MIBC.Runtime , optimization.windows_nt-x64.MIBC.Runtime , optimization.windows_nt-x86.MIBC.Runtime
 From Version 1.0.0-prerelease.24462.2 -> To Version 1.0.0-prerelease.25256.1

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

Author: dotnet-maestro[bot]

NuGet.config

@@ -8,7 +8,6 @@
     <clear />
     <!--Begin: Package sources managed by Dependency Flow automation. Do not edit the sources below.-->
     <!--  Begin: Package sources from DotNet-msbuild-Trusted -->
-    <add key="darc-pub-DotNet-msbuild-Trusted-c192adb" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-DotNet-msbuild-Trusted-c192adbb/nuget/v3/index.json" />
     <!--  End: Package sources from DotNet-msbuild-Trusted -->
     <!--End: Package sources managed by Dependency Flow automation. Do not edit the sources above.-->
     <add key="dotnet-eng" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/dotnet-eng/nuget/v3/index.json" />

eng/Version.Details.xml

@@ -39,25 +39,25 @@
       <Uri>https://github.com/dotnet/arcade</Uri>
       <Sha>086a1771875b63404b4a710d27250fe384dc2810</Sha>
     </Dependency>
-    <Dependency Name="optimization.windows_nt-x64.MIBC.Runtime" Version="1.0.0-prerelease.24462.2">
+    <Dependency Name="optimization.windows_nt-x64.MIBC.Runtime" Version="1.0.0-prerelease.25256.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>9d7532585ce71e30ab55f0364d3cecccaf0775d1</Sha>
+      <Sha>a68196f69e40740fce716778138acaa26488b333</Sha>
     </Dependency>
-    <Dependency Name="optimization.windows_nt-x86.MIBC.Runtime" Version="1.0.0-prerelease.24462.2">
+    <Dependency Name="optimization.windows_nt-x86.MIBC.Runtime" Version="1.0.0-prerelease.25256.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>9d7532585ce71e30ab55f0364d3cecccaf0775d1</Sha>
+      <Sha>a68196f69e40740fce716778138acaa26488b333</Sha>
     </Dependency>
-    <Dependency Name="optimization.linux-x64.MIBC.Runtime" Version="1.0.0-prerelease.24462.2">
+    <Dependency Name="optimization.linux-x64.MIBC.Runtime" Version="1.0.0-prerelease.25256.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>9d7532585ce71e30ab55f0364d3cecccaf0775d1</Sha>
+      <Sha>a68196f69e40740fce716778138acaa26488b333</Sha>
     </Dependency>
-    <Dependency Name="optimization.windows_nt-arm64.MIBC.Runtime" Version="1.0.0-prerelease.24462.2">
+    <Dependency Name="optimization.windows_nt-arm64.MIBC.Runtime" Version="1.0.0-prerelease.25256.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>9d7532585ce71e30ab55f0364d3cecccaf0775d1</Sha>
+      <Sha>a68196f69e40740fce716778138acaa26488b333</Sha>
     </Dependency>
-    <Dependency Name="optimization.linux-arm64.MIBC.Runtime" Version="1.0.0-prerelease.24462.2">
+    <Dependency Name="optimization.linux-arm64.MIBC.Runtime" Version="1.0.0-prerelease.25256.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>9d7532585ce71e30ab55f0364d3cecccaf0775d1</Sha>
+      <Sha>a68196f69e40740fce716778138acaa26488b333</Sha>
     </Dependency>
   </ToolsetDependencies>
 </Dependencies>

eng/Versions.props

@@ -204,10 +204,10 @@
     <HumanizerCoreVersion>2.2.0</HumanizerCoreVersion>
     <!-- -->
     <!-- MIBC profile packages -->
-    <optimizationwindows_ntx64MIBCRuntimeVersion>1.0.0-prerelease.24462.2</optimizationwindows_ntx64MIBCRuntimeVersion>
-    <optimizationwindows_ntx86MIBCRuntimeVersion>1.0.0-prerelease.24462.2</optimizationwindows_ntx86MIBCRuntimeVersion>
-    <optimizationwindows_ntarm64MIBCRuntimeVersion>1.0.0-prerelease.24462.2</optimizationwindows_ntarm64MIBCRuntimeVersion>
-    <optimizationlinuxx64MIBCRuntimeVersion>1.0.0-prerelease.24462.2</optimizationlinuxx64MIBCRuntimeVersion>
-    <optimizationlinuxarm64MIBCRuntimeVersion>1.0.0-prerelease.24462.2</optimizationlinuxarm64MIBCRuntimeVersion>
+    <optimizationwindows_ntx64MIBCRuntimeVersion>1.0.0-prerelease.25256.1</optimizationwindows_ntx64MIBCRuntimeVersion>
+    <optimizationwindows_ntx86MIBCRuntimeVersion>1.0.0-prerelease.25256.1</optimizationwindows_ntx86MIBCRuntimeVersion>
+    <optimizationwindows_ntarm64MIBCRuntimeVersion>1.0.0-prerelease.25256.1</optimizationwindows_ntarm64MIBCRuntimeVersion>
+    <optimizationlinuxx64MIBCRuntimeVersion>1.0.0-prerelease.25256.1</optimizationlinuxx64MIBCRuntimeVersion>
+    <optimizationlinuxarm64MIBCRuntimeVersion>1.0.0-prerelease.25256.1</optimizationlinuxarm64MIBCRuntimeVersion>
   </PropertyGroup>
 </Project>