azure-mgmt-loadtesting needs typing updates for mypy version 1.14.1

[azure-sdk]

ACTION NEEDED: This version of mypy will be merged on 2025-10-13. The build will begin to fail for this library if errors are not fixed.

Library name: azure-mgmt-loadtesting
Mypy version: 1.14.1
Mypy Build: Link to build (2025-07-20)
How to fix: Run the next-mypy tox command at the library package-level and resolve the typing errors.

1. ../azure-mgmt-loadtesting>pip install "tox<5"
2. ../azure-mgmt-loadtesting>tox run -e next-mypy -c ../../../eng/tox/tox.ini --root .

See the Typing Guide for more information.