chore(deps-dev): bump azure-core from 1.35.0 to 1.35.1

Bumps [azure-core](https://github.com/Azure/azure-sdk-for-python) 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-core
  dependency-version: 1.35.1
  dependency-type: direct:development
  update-type: version-update:semver-patch
...

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

Author: dependabot[bot]

requirements-dev.txt

@@ -6,7 +6,7 @@ asyncmock==0.4.2
 
 attrs==25.3.0 ; python_version >= '3.7'
 
-azure-core==1.35.0 ; python_version >= '3.7'
+azure-core==1.35.1 ; python_version >= '3.7'
 
 azure-identity==1.24.0