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:production
  update-type: version-update:semver-patch
...

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

Author: dependabot[bot]

src/requirements.txt

@@ -21,7 +21,7 @@ anyio==4.10.0
     #   watchfiles
 attrs==25.3.0
     # via aiohttp
-azure-core==1.35.0
+azure-core==1.35.1
     # via azure-identity
 azure-identity==1.25.0
     # via quartapp (pyproject.toml)