Pass encrypted Laravel session cookie

[NickHoner]

I have a site in Laravel and I would like to pass the currently authenticated user to Chrome to generate a PDF of a page that is behind authentication. This works fine if I disable Laravel from encrypting the session cookie, but I can't seem to figure out how to get the correct encrypted value to pass to Chrome:

Fails to get past auth:

$page->setCookies([
    Cookie::create(config('session.cookie'), Crypt::encrypt(session()->getId()), [
        'domain' => $domain,
        'expires' => time() + 3600, // expires in 1 hour
    ])
])->await();

Works

// AppServiceProvider:
EncryptCookies::except(['laravel_session']);
// 

$page->setCookies([
    Cookie::create(config('session.cookie'), session()->getId(), [
        'domain' => $domain,
        'expires' => time() + 3600, // expires in 1 hour
    ])
])->await();

Can anyone give me any pointers as to how Laravel encrypts the cookie?