Update dependencies from https://dev.azure.com/dnceng/internal/_git/dotnet-optimization build 20251002.1 (#63931)

[main] Update dependencies from dnceng/internal/dotnet-optimization

Author: dotnet-maestro[bot]

eng/Version.Details.props

@@ -108,11 +108,11 @@ This file should be imported by eng/Versions.props
     <MicrosoftExtensionsDiagnosticsTestingPackageVersion>9.10.0-preview.1.25475.1</MicrosoftExtensionsDiagnosticsTestingPackageVersion>
     <MicrosoftExtensionsTimeProviderTestingPackageVersion>9.10.0-preview.1.25475.1</MicrosoftExtensionsTimeProviderTestingPackageVersion>
     <!-- _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>
     <!-- dotnet/msbuild dependencies -->
     <MicrosoftBuildPackageVersion>17.12.36</MicrosoftBuildPackageVersion>
     <MicrosoftBuildFrameworkPackageVersion>17.12.36</MicrosoftBuildFrameworkPackageVersion>

eng/Version.Details.xml

@@ -402,25 +402,25 @@
       <Uri>https://github.com/dotnet/extensions</Uri>
       <Sha>c4e57fb1e6b8403a527ea3cd737f1146dcbc1f31</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>
     <!-- Dependencies required for source build to lift to the previously-source-built version. -->
     <!-- These versions are manually updated -->