react-instantsearch doesn't support algolia v5

### 🐛 Current behavior

I upgraded JavaScript API Client to version 5.13.0 successfully, but it is not compatible with `InstantSearch` component from react-instantsearch anymore.

This is the code:

```
import { searchClient as algoliaSearch } from "@algolia/client-search";

import { Configure, InstantSearch } from "react-instantsearch";

...

{children}

```

The error is type related saying `is not assignable to type 'SearchClient'`

Is `react-instantsearch` going to be updated soon to support algolia v5?

### 🔍 Steps to reproduce

1. Install latest algolia
2. Install latest react-instantsearch
3. Try to use it

### Live reproduction

https://www.algolia.com/doc/libraries/javascript/v5/upgrade

### 💭 Expected behavior

`InstantSearch` component shouldn't give any errors.

### Package version

algoliasearch 5.13.0, react-instantsearch 7.13.7

### Operating system

Mac OS 15.0.1

### Browser

Chrome

### Code of Conduct

- [X] I agree to follow this project's Code of Conduct

Start by reproducing the type error with algoliasearch 5.13.0 and react-instantsearch 7.13.7, then inspect the InstantSearch component's SearchClient type and the client returned by @algolia/client-search. Done means the shown searchClient is accepted by InstantSearch and the existing reproduction type-checks without errors.

Written by the indexing model from the issue text.