Update dependencies from https://dev.azure.com/dnceng/internal/_git/dotnet-optimization build 20251002.1 (#18961)

On relative base path root
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.25467.1 -> To Version 1.0.0-prerelease.25502.1

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

Author: dotnet-maestro[bot]

eng/Version.Details.props

@@ -20,11 +20,11 @@ This file should be imported by eng/Versions.props
     <!-- dotnet/arcade dependencies -->
     <MicrosoftDotNetArcadeSdkPackageVersion>10.0.0-beta.25426.3</MicrosoftDotNetArcadeSdkPackageVersion>
     <!-- _git/dotnet-optimization dependencies -->
-    <optimizationlinuxarm64MIBCRuntimePackageVersion>1.0.0-prerelease.25467.1</optimizationlinuxarm64MIBCRuntimePackageVersion>
-    <optimizationlinuxx64MIBCRuntimePackageVersion>1.0.0-prerelease.25467.1</optimizationlinuxx64MIBCRuntimePackageVersion>
-    <optimizationwindows_ntarm64MIBCRuntimePackageVersion>1.0.0-prerelease.25467.1</optimizationwindows_ntarm64MIBCRuntimePackageVersion>
-    <optimizationwindows_ntx64MIBCRuntimePackageVersion>1.0.0-prerelease.25467.1</optimizationwindows_ntx64MIBCRuntimePackageVersion>
-    <optimizationwindows_ntx86MIBCRuntimePackageVersion>1.0.0-prerelease.25467.1</optimizationwindows_ntx86MIBCRuntimePackageVersion>
+    <optimizationlinuxarm64MIBCRuntimePackageVersion>1.0.0-prerelease.25502.1</optimizationlinuxarm64MIBCRuntimePackageVersion>
+    <optimizationlinuxx64MIBCRuntimePackageVersion>1.0.0-prerelease.25502.1</optimizationlinuxx64MIBCRuntimePackageVersion>
+    <optimizationwindows_ntarm64MIBCRuntimePackageVersion>1.0.0-prerelease.25502.1</optimizationwindows_ntarm64MIBCRuntimePackageVersion>
+    <optimizationwindows_ntx64MIBCRuntimePackageVersion>1.0.0-prerelease.25502.1</optimizationwindows_ntx64MIBCRuntimePackageVersion>
+    <optimizationwindows_ntx86MIBCRuntimePackageVersion>1.0.0-prerelease.25502.1</optimizationwindows_ntx86MIBCRuntimePackageVersion>
   </PropertyGroup>
   <!--Property group for alternate package version names-->
   <PropertyGroup>

eng/Version.Details.xml

@@ -48,25 +48,25 @@
       <Uri>https://github.com/dotnet/arcade</Uri>
       <Sha>5db998e02282e63bc375948a237bcdfef534a5c5</Sha>
     </Dependency>
-    <Dependency Name="optimization.windows_nt-x64.MIBC.Runtime" Version="1.0.0-prerelease.25467.1">
+    <Dependency Name="optimization.windows_nt-x64.MIBC.Runtime" Version="1.0.0-prerelease.25502.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>59dc6a9bf1b3e3ab71c73d94160c2049fb104cd1</Sha>
+      <Sha>71ce9774e9875270b80faaac1d6b60568a80e1fa</Sha>
     </Dependency>
-    <Dependency Name="optimization.windows_nt-x86.MIBC.Runtime" Version="1.0.0-prerelease.25467.1">
+    <Dependency Name="optimization.windows_nt-x86.MIBC.Runtime" Version="1.0.0-prerelease.25502.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>59dc6a9bf1b3e3ab71c73d94160c2049fb104cd1</Sha>
+      <Sha>71ce9774e9875270b80faaac1d6b60568a80e1fa</Sha>
     </Dependency>
-    <Dependency Name="optimization.linux-x64.MIBC.Runtime" Version="1.0.0-prerelease.25467.1">
+    <Dependency Name="optimization.linux-x64.MIBC.Runtime" Version="1.0.0-prerelease.25502.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>59dc6a9bf1b3e3ab71c73d94160c2049fb104cd1</Sha>
+      <Sha>71ce9774e9875270b80faaac1d6b60568a80e1fa</Sha>
     </Dependency>
-    <Dependency Name="optimization.windows_nt-arm64.MIBC.Runtime" Version="1.0.0-prerelease.25467.1">
+    <Dependency Name="optimization.windows_nt-arm64.MIBC.Runtime" Version="1.0.0-prerelease.25502.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>59dc6a9bf1b3e3ab71c73d94160c2049fb104cd1</Sha>
+      <Sha>71ce9774e9875270b80faaac1d6b60568a80e1fa</Sha>
     </Dependency>
-    <Dependency Name="optimization.linux-arm64.MIBC.Runtime" Version="1.0.0-prerelease.25467.1">
+    <Dependency Name="optimization.linux-arm64.MIBC.Runtime" Version="1.0.0-prerelease.25502.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>
-      <Sha>59dc6a9bf1b3e3ab71c73d94160c2049fb104cd1</Sha>
+      <Sha>71ce9774e9875270b80faaac1d6b60568a80e1fa</Sha>
     </Dependency>
   </ToolsetDependencies>
 </Dependencies>