Add Shared Media drawer and harden same-room navigation.

Widen the media panel, support skinny full-page mode, keep jump-to-latest and return-to-previous reliable, and stop same-room event jumps from remounting the outlet or yanking the sidebar.

src/app/pages/client/direct/index.ts

@@ -1,3 +1,4 @@
 export * from './Direct';
 export * from './RoomProvider';
 export * from './DirectCreate';
+export * from './Search';