How to set cookie before test in Laravel?

I need to test a specific behaviour based on the presence of a cookie, how do I set a cookie before sending the request (or visiting the page) ? For the moment the following fails, it behaves likes nothing was set.

$this->actingAs($user)
       ->withSession(['user' => $user, 'profile' => $profile]) ;
@setcookie( 'locale_lc', "fr", time() + 60 * 60 * 24 * 900, '/', "domain.com", true, true) ;
$this->visit('/profile') ;

Or

$cookie = ['locale_lc' => Crypt::encrypt('fr')] ;

$this->actingAs($user)
         ->withSession(['user' => $user, 'profile' => $profile])
         ->makeRequest('GET', '/profile', [], $cookie) ;