Bump Anthropic.SDK from 5.0.0 to 5.10.0

---
updated-dependencies:
- dependency-name: Anthropic.SDK
  dependency-version: 5.10.0
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

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

Author: dependabot[bot]

backend/Directory.Packages.props

@@ -94,7 +94,7 @@
     <PackageVersion Include="Sentry.Serilog" Version="4.13.0" />
     <PackageVersion Include="prometheus-net" Version="8.2.1" />
     <PackageVersion Include="prometheus-net.AspNetCore" Version="8.2.1" />
-    <PackageVersion Include="Anthropic.SDK" Version="5.0.0" />
+    <PackageVersion Include="Anthropic.SDK" Version="5.10.0" />
   </ItemGroup>
 
   <ItemGroup Label="Integration tests (Testcontainers)">