chore(deps-dev): bump the azure-identity group with 2 updates

Bumps the azure-identity group with 2 updates: [azure-identity](https://github.com/Azure/azure-sdk-for-python) and [azure-core](https://github.com/Azure/azure-sdk-for-python).


Updates `azure-identity` from 1.24.0 to 1.25.0
- [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](Azure/azure-sdk-for-python@azure-identity_1.24.0...azure-identity_1.25.0)

Updates `azure-core` from 1.35.0 to 1.35.1
- [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](Azure/azure-sdk-for-python@azure-core_1.35.0...azure-core_1.35.1)

---
updated-dependencies:
- dependency-name: azure-identity
  dependency-version: 1.25.0
  dependency-type: direct:development
  update-type: version-update:semver-minor
  dependency-group: azure-identity
- dependency-name: azure-core
  dependency-version: 1.35.1
  dependency-type: direct:development
  update-type: version-update:semver-patch
  dependency-group: azure-identity
...

Signed-off-by: dependabot[bot] <[email protected]>

Author: dependabot[bot]

requirements-dev.txt

@@ -4,8 +4,8 @@ anyio==4.10.0
 astroid==3.3.11
 async-timeout==5.0.1
 attrs==25.3.0
-azure-core==1.35.0
-azure-identity==1.24.0
+azure-core==1.35.1
+azure-identity==1.25.1
 build==1.3.0
 bumpver==2025.1131
 certifi==2025.8.3