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/Router.tsx

@@ -41,7 +41,7 @@ import {
 } from './pathUtils';
 import { ClientBindAtoms, ClientLayout, ClientRoot } from './client';
 import { Home, HomeRouteRoomProvider, HomeSearch } from './client/home';
-import { Direct, DirectCreate, DirectRouteRoomProvider } from './client/direct';
+import { Direct, DirectCreate, DirectRouteRoomProvider, DirectSearch } from './client/direct';
 import { RouteSpaceProvider, SpaceRouteRoomProvider, SpaceSearch, SpaceIndexRedirect } from './client/space';
 import { ForumAwareSpaceLayout } from '../features/forum/ForumAwareSpaceLayout';
 import { ForumFeedPage } from '../features/forum/ForumFeedPage';
@@ -223,6 +223,7 @@ export const createRouter = (clientConfig: ClientConfig, screenSize: ScreenSize)
         >
           {mobile ? null : <Route index element={<WelcomePage />} />}
           <Route path={_CREATE_PATH} element={<DirectCreate />} />
+          <Route path={_SEARCH_PATH} element={<DirectSearch />} />
           <Route path={_NOTIFICATIONS_PATH} element={<Notifications />} />
           <Route path={_INVITES_PATH} element={<Invites />} />
           <Route