问如何在多个表中同时更新内连接数据

EN

class Task extends Model
{
    protected $fillable =
    [
        'user_id',
    ];

    public function user() {
        return $this->belongsTo('App\User');
    }

    public function engagements()
    {
        return $this->belongsToMany('App\Engagement', 'engagement_task', 'task_id', 'engagement_id');
    }
}

public function update(Request $request, Task $task)
    {

        if ($task->user_id !== auth()->user()->id) {
            return response()->json('Unauthorized', 401);
        }

        $data = $request->validate([
            'user_id' => 'required|integer',
        ]);

        $task->update($data);

        $status = $request->validate([
            'status' => 'required|string'
        ]);

        $task->engagements()->update($status);

        return response($task, 200);
    }