chore: Bump azure-identity in /sdk/python/requirements

Bumps [azure-identity](https://github.com/Azure/azure-sdk-for-python) from 1.16.0 to 1.16.1.
- [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-identity_1.16.0...azure-identity_1.16.1)

---
updated-dependencies:
- dependency-name: azure-identity
  dependency-type: direct:production
...

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

Author: dependabot[bot]

sdk/python/requirements/py3.10-ci-requirements.txt

@@ -37,7 +37,7 @@ azure-core==1.30.1
     # via
     #   azure-identity
     #   azure-storage-blob
-azure-identity==1.16.0
+azure-identity==1.16.1
 azure-storage-blob==12.19.1
 babel==2.15.0
     # via

sdk/python/requirements/py3.11-ci-requirements.txt

@@ -35,7 +35,7 @@ azure-core==1.30.1
     # via
     #   azure-identity
     #   azure-storage-blob
-azure-identity==1.16.0
+azure-identity==1.16.1
 azure-storage-blob==12.19.1
 babel==2.15.0
     # via

sdk/python/requirements/py3.9-ci-requirements.txt

@@ -37,7 +37,7 @@ azure-core==1.30.1
     # via
     #   azure-identity
     #   azure-storage-blob
-azure-identity==1.16.0
+azure-identity==1.16.1
 azure-storage-blob==12.19.1
 babel==2.15.0
     # via