[Task] Fix flaky test on `main`

[kantord]

Main has a flaky test. It seems to be due to a timing issue or race condition.

Here is an example of a failing job: https://github.com/stacklok/toolhive-studio/actions/runs/19137353334/job/54692718082

 FAIL  renderer/src/features/clients/components/__tests__/manage-clients-button.test.tsx > ManageClientsButton – BDD flows > disables clients from a group
TestingLibraryElementError: Unable to find role="switch" and name "cursor"