laravelでN+1問題を解決したい

N+1問題を解決したいです。
商品を買ったバイヤーを判別しているところで、sqlが数回実行されているのでここを解決したいです。
中間テーブルが絡んでいきて少し複雑なので困っています。。。何かアドバイスいただきたいです

Products/list.blade.php

    <sold-label
    :initial-is-buyer-ordered-by='@json((bool)$product->orderBuyer()->count())'
    >
    </sold-label>

クエリーの処理

select count(*) as aggregate from `products`
3.32ms
/vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23
project_haiki
select * from `products` limit 10 offset 0
270μs
/vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23
project_haiki
select * from `users` where `id` = 3 limit 1
330μs
/vendor/laravel/framework/src/Illuminate/Auth/EloquentUserProvider.php:52
project_haiki
select count(*) as aggregate from `buyers` inner join `orders` on `buyers`.`id` = `orders`.`buyer_id` where `orders`.`product_id` = 1
580μs
/vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23
project_haiki
select * from `users` where `users`.`id` = 1 limit 1
430μs
/Users/okuhataryouhei/Desktop/project/storage/framework/views/22b3889567d438559c96c40c7515953a3454e8c6.php:19
project_haiki
select count(*) as aggregate from `buyers` inner join `orders` on `buyers`.`id` = `orders`.`buyer_id` where `orders`.`product_id` = 2
430μs
/vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23
project_haiki
select * from `users` where `users`.`id` = 1 limit 1
380μs
/Users/okuhataryouhei/Desktop/project/storage/framework/views/22b3889567d438559c96c40c7515953a3454e8c6.php:19
project_haiki
select count(*) as aggregate from `buyers` inner join `orders` on `buyers`.`id` = `orders`.`buyer_id` where `orders`.`product_id` = 3
370μs
/vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23
project_haiki
select * from `users` where `users`.`id` = 3 limit 1
230μs
/Users/okuhataryouhei/Desktop/project/storage/framework/views/22b3889567d438559c96c40c7515953a3454e8c6.php:19
project_haiki
select count(*) as aggregate from `buyers` inner join `orders` on `buyers`.`id` = `orders`.`buyer_id` where `orders`.`product_id` = 4
220μs
/vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23
project_haiki
select * from `users` where `users`.`id` = 3 limit 1
340μs
/Users/okuh

App/Product.php

    //----------------------------
    //buyerとのリレーション(多対多)
    //product->orderBuyerで自分を買ったバイヤーの情報取得
    //product->orders()->attachで中間テーブル更新
    //----------------------------
    public function orderBuyer(): BelongsToMany
    {
    return $this->belongsToMany('App\Buyer', 'orders','product_id', 'buyer_id')->withTimestamps();
    
    }//第二引数には中間テーブルのテーブル名

App/Buyer.php

 public function orderProduct(): BelongsToMany
 //buyerとのリレーション(多対多)（buyerをもとにproduct取得）
    {
        return $this->belongsToMany('App\Product', 'orders','buyer_id', 'product_id')->withTimestamps();
    }

テーブル