How to check if page exists in Multisite?

I have the following function to check if the page exists in WordPress by using the path:

    private function page_exists( $path ) {
        $post_types = apply_filters( 'get_page_by_path_post_types', [ 'page', 'post' ] );
        foreach ( $post_types as $pt ) {
            if( get_page_by_path( $path, OBJECT, $pt ) !== null ) {
                return true;
            }
        }
        return false;
    }

The problem is that in multisite the function fails. I searched around but I couldn’t find a Multisite function similar to get_page_by_path