[release/10.0] Sync branch with origin/main (#8572)

* [main] Bump the azure-sdk-dependencies group with 1 update (#8545)

Bumps Azure.Core from 1.47.2 to 1.47.3

---
updated-dependencies:
- dependency-name: Azure.Core
  dependency-version: 1.47.3
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: azure-sdk-dependencies
...

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* [main] Bump the identity-dependencies group with 1 update (#8565)

Bumps Microsoft.Identity.Web from 3.13.2 to 3.14.0

---
updated-dependencies:
- dependency-name: Microsoft.Identity.Web
  dependency-version: 3.14.0
  dependency-type: direct:production
  update-type: version-update:semver-minor
  dependency-group: identity-dependencies
...

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* Update dependencies from https://github.com/dotnet/arcade build 20250828.3 (#8568)

[main] Update dependencies from dotnet/arcade

* Restore branch-specific files

---------

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Author: 3 people

eng/dependabot/independent/Versions.props

@@ -6,7 +6,7 @@
     <AzureIdentityVersion>1.15.0</AzureIdentityVersion>
     <AzureStorageBlobsVersion>12.25.0</AzureStorageBlobsVersion>
     <AzureStorageQueuesVersion>12.23.0</AzureStorageQueuesVersion>
-    <MicrosoftIdentityWebVersion>3.13.2</MicrosoftIdentityWebVersion>
+    <MicrosoftIdentityWebVersion>3.14.0</MicrosoftIdentityWebVersion>
     <MicrosoftOpenApiReadersVersion>1.6.24</MicrosoftOpenApiReadersVersion>
     <SystemPrivateUriVersion>4.3.2</SystemPrivateUriVersion>
     <SystemSecurityPrincipalWindowsVersion>5.0.0</SystemSecurityPrincipalWindowsVersion>