Support liveness and readiness probes

Supporting the injection of liveness and readiness probes for both job and task managers would protect against hanging processes and allow the running of network services like the Queryable State API on task managers.

Start by locating how job managers and task managers are configured and deployed in the operator. Determine where liveness and readiness probes would be injected for both, then verify that the configuration supports hanging-process detection and network services such as the Queryable State API on task managers.

Written by the indexing model from the issue text.