Defer search-restore render so it survives nav-button click bubble

The navigate-back fix from the previous commit was being immediately
undone by the document outside-click handler. Race:

1. Click on sidebar nav-button → button handler runs synchronously,
   eventually calling _searchPageRestoreOnEnter → _renderFromState →
   showDropdown removes `hidden` class
2. Click event bubbles up to document
3. Document outside-click handler sees dropdown is now visible, sees
   the click target is a nav-button (not inside the search wrapper or
   the source row), calls hideDropdown → instantly hidden again

Fix: defer the _renderFromState call to setTimeout(0). The macrotask
runs AFTER the click event finishes propagating, so by the time the
dropdown becomes visible, the document outside-click handler has
already short-circuited (it saw the dropdown still hidden).

User reported having to delete + retype the last character of the
query to force a re-render — which worked because the input event
listener fires submitQuery, which routes through the controller
without going through the deferred path.

webui/static/search.js

@@ -209,9 +209,13 @@ function initializeSearchModeToggle() {
     searchController.init();
 
     // Expose a re-render hook so navigate-back to /search restores cached
-    // results instead of leaving the dropdown hidden.
+    // results instead of leaving the dropdown hidden. Deferred to the next
+    // tick so the render happens AFTER the nav-button click finishes
+    // bubbling to the document outside-click handler — otherwise that
+    // handler sees the just-shown dropdown and immediately dismisses it.
     _searchPageRestoreOnEnter = () => {
-        if (searchController.state.query) _renderFromState(searchController.state);
+        if (!searchController.state.query) return;
+        setTimeout(() => _renderFromState(searchController.state), 0);
     };
 
     // Live search with debouncing