How to make a row count cast through a crosstab?

Question

MySQL

There are 2 models User and Game. The game has 2 participants, in the future it is planned to do more, so I created a participants table with the fields "user_id, game_id".
In addition, the user may have referrals and I need to calculate the total number of games played by referrals.
Here is the code:
//User

public function games()
    {
        return $this->belongsToMany(Game::class, 'participants');
    }

    public function referrer()
    {
        return $this->hasOne(User::class, 'id', 'referred_by');
    }

    public function referrals()
    {
        return $this->hasMany(User::class, 'id', 'referred_by');
    }

And here is Game:

public function participants()
    {
        return $this->belongsToMany(User::class, 'participants');
    }

Tried something like

public function ref_games_count()
    {
        $this->referrals()->whereHas('games')->selectRaw('participants.*, sum(participants.count)')->first();
    }

But I realized that this is nonsense. Need help.