Bump Azure.Identity in /tools/code/publisher.integration.tests

Bumps [Azure.Identity](https://github.com/Azure/azure-sdk-for-net) from 1.9.0-beta.2 to 1.10.2.
- [Release notes](https://github.com/Azure/azure-sdk-for-net/releases)
- [Commits](https://github.com/Azure/azure-sdk-for-net/compare/Azure.Identity_1.9.0-beta.2...Azure.Identity_1.10.2)

---
updated-dependencies:
- dependency-name: Azure.Identity
  dependency-type: direct:production
...

Signed-off-by: dependabot[bot] <support@github.com>

tools/code/publisher.integration.tests/publisher.integration.tests.csproj

@@ -1,4 +1,4 @@
-<Project Sdk="Microsoft.NET.Sdk">
+<Project Sdk="Microsoft.NET.Sdk">
 
   <PropertyGroup>
     <TargetFramework>net7.0</TargetFramework>
@@ -10,7 +10,7 @@
   </PropertyGroup>
 
   <ItemGroup>
-    <PackageReference Include="Azure.Identity" Version="1.9.0-beta.2" />
+    <PackageReference Include="Azure.Identity" Version="1.10.2" />
     <PackageReference Include="Azure.ResourceManager.ApiManagement" Version="1.0.1" />
     <PackageReference Include="FluentAssertions" Version="6.10.0" />
     <PackageReference Include="LanguageExt.Core" Version="4.4.2" />