Live Cast Reuses Regular Task List

Live Cast: Task list must behave the same was as a regular task list: open the details in a pane on the right. All code must be reused. Definition of done: both Live Cast task list and regular task list use the same code. Live Cast is parametrized that allow it to show a slightly different subset of tasks and tasks are read only

Live Cast opens tasks in the console's right-hand pane via one shared ListDetailShell (App + LiveApp); fixed basename in-place move. PR #5416 merged; dev deploy green on d8642aee3. Full gate: 1 host-Python red stage (unrelated). UI follow-ups in report.