feat(dashboard): close legacy parity gaps

tests/dashboard/live-console-model.test.ts

@@ -10,6 +10,22 @@ function entry(id: string, level: 'debug' | 'info' | 'warn' | 'error', message:
 }
 
 describe('live console state', () => {
+  it('clears retained and paused entries without changing local controls', () => {
+    const initial = {
+      ...createLiveConsoleState(5),
+      entries: [entry('one', 'info', 'one')],
+      pendingEntries: [entry('two', 'warn', 'two')],
+      isPaused: true,
+      search: 'needle',
+    };
+
+    expect(reduceLiveConsoleState(initial, { type: 'clear' })).toEqual({
+      ...initial,
+      entries: [],
+      pendingEntries: [],
+    });
+  });
+
   it('bounds entries, rejects duplicate IDs, and filters by level and search', () => {
     let state = createLiveConsoleState(2);
     state = reduceLiveConsoleState(state, { type: 'append', entry: entry('1', 'info', 'Sync started') });