It is not updated immediately.

When you add or modify record, it is not updated immediately.
Can you improve this?
Thank you.

flutter web
algolia_helper_flutter: ^0.2.3

```

late HitsSearcher hitSearcher;
final TextEditingController searchText = TextEditingController();
PagingController pagingController =
PagingController(firstPageKey: 0);
Stream get _searchPage =>
hitSearcher.responses.map(HitsPage.fromResponse);

@override
void initState() {
/// Algolia DB 검색
Account account = ref.read(Dependency.account);
hitSearcher = HitsSearcher.create(
applicationID: AlgoliaCredentials.applicationID,
apiKey: account.securedKey!,
state: const SearchState(
indexName: AlgoliaCredentials.addressLabelIndex,
//query: '',
));

searchText.addListener(() {
hitSearcher.query(searchText.text);
pagingController.refresh();
});

_searchPage.listen((HitsPage page) {
if (page.pageKey == 0) {
pagingController.refresh();
}
pagingController.appendPage(page.items, page.nextPageKey);
}).onError((error) => pagingController.error = error);

pagingController.addPageRequestListener((int pageKey) {
/// data fetch
hitSearcher
.applyState((SearchState state) => state.copyWith(page: pageKey));
});
super.initState();
}

@override
void dispose() {
hitSearcher.dispose();
searchText.dispose();
super.dispose();
}

Future _refresh() async {
hitSearcher.query('');
Future.delayed(const Duration(seconds: 1), () {
pagingController.refresh();
});

if (mounted) {
return Future.value();
}
}

@override
Widget build(BuildContext context) {
.....

PagedSliverList(
pagingController: pagingController,
builderDelegate: PagedChildBuilderDelegate(
noItemsFoundIndicatorBuilder: (_) =>
NoItemFoundMessageView(),
itemBuilder: (BuildContext context, LabelData item,
int index) =>
Center(
child: SizedBox(
width: 700.0,
child: ListTile(
leading: const Icon(FluentIcons.tag_24_regular),
title: Text(
item.name,
style: context.titleMedium,
), ),
),
),
),
)
```

https://user-images.githubusercontent.com/49754877/209442778-f8fd2739-3119-487b-86a0-4438a01bb4de.mov

Start by reproducing the delayed update in the provided Flutter web example, focusing on initState, the searchText listener, pagingController, and _refresh. Determine when a record is added or modified and when the displayed results refresh; done means the new or changed record appears immediately after the operation.

Written by the indexing model from the issue text.