Python dependency: Bump azure-identity in /web/regression

Bumps [azure-identity](https://github.com/Azure/azure-sdk-for-python) from 1.25.0 to 1.25.1.
- [Release notes](https://github.com/Azure/azure-sdk-for-python/releases)
- [Changelog](https://github.com/Azure/azure-sdk-for-python/blob/main/doc/esrp_release.md)
- [Commits](https://github.com/Azure/azure-sdk-for-python/compare/azure-identity_1.25.0...azure-identity_1.25.1)

---
updated-dependencies:
- dependency-name: azure-identity
  dependency-version: 1.25.1
  dependency-type: direct:production
  update-type: version-update:semver-patch
...

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

requirements.txt

@@ -13,7 +13,7 @@
 ###############################################################################
 
 Authlib==1.6.*
-azure-identity==1.25.0
+azure-identity==1.25.1
 azure-mgmt-rdbms==10.1.0
 azure-mgmt-resource==24.0.0
 azure-mgmt-subscription==3.1.1