Bump Azure.Extensions.AspNetCore.Configuration.Secrets from 1.5.0 to 1.5.1 (#1046)

Updated
[Azure.Extensions.AspNetCore.Configuration.Secrets](https://github.com/Azure/azure-sdk-for-net)
from 1.5.0 to 1.5.1.

<details>
<summary>Release notes</summary>

_Sourced from [Azure.Extensions.AspNetCore.Configuration.Secrets's
releases](https://github.com/Azure/azure-sdk-for-net/releases)._

## 1.5.1

## 1.5.1 (2026-04-29)

### Other Changes

- Adopted the new `Azure.Core` version that includes the identity types
moved from `Azure.Identity`.


Commits viewable in [compare
view](https://github.com/Azure/azure-sdk-for-net/commits/Azure.Extensions.AspNetCore.Configuration.Secrets_1.5.1).
</details>

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Directory.Packages.props

@@ -22,7 +22,7 @@
     <PackageVersion Include="Azure.Extensions.AspNetCore.DataProtection.Keys" Version="1.6.2" />
     <PackageVersion Include="Microsoft.AspNetCore.DataProtection.EntityFrameworkCore" Version="10.0.7" />
     <PackageVersion Include="AspNet.Security.OAuth.GitHub" Version="10.0.0" />
-    <PackageVersion Include="Azure.Extensions.AspNetCore.Configuration.Secrets" Version="1.5.0" />
+    <PackageVersion Include="Azure.Extensions.AspNetCore.Configuration.Secrets" Version="1.5.1" />
     <PackageVersion Include="Azure.Identity" Version="1.21.0" />
     <PackageVersion Include="Azure.Monitor.OpenTelemetry.AspNetCore" Version="1.4.0" />
     <PackageVersion Include="TUnit" Version="1.40.5" />