feat(dashboard): close legacy parity gaps

apps/dashboard/src/features/operations/live-console-model.ts

@@ -24,7 +24,8 @@ export type LiveConsoleAction =
   | { type: 'set-paused'; paused: boolean }
   | { type: 'set-auto-scroll'; enabled: boolean }
   | { type: 'set-level'; level: ConsoleLevelFilter }
-  | { type: 'set-search'; search: string };
+  | { type: 'set-search'; search: string }
+  | { type: 'clear' };
 
 function boundedAppend(
   entries: readonly ConsoleEntry[],
@@ -89,6 +90,8 @@ export function reduceLiveConsoleState(
       return { ...state, level: action.level };
     case 'set-search':
       return { ...state, search: action.search };
+    case 'clear':
+      return { ...state, entries: [], pendingEntries: [] };
   }
 }