Laravel sanctum + Nuxt - CSRF cookie is not working in production

Hello guys!

I'm trying to deploy a nuxt application with a Laravel backend into production. The application uses nuxt-authentication and laravel sanctum via cookies (not JWT). So far so good, everything works... except authentication and post requests. I have everything set according to the documentation and I don't know where I could have made a mistake. The only possibly unusual thing is that I configured NGinX to refer domain.com/ to Nuxt, but domain.com/api/* and (/login + /logout + /sanctum/csrf-cookie) to refer my Laravel API.

When I trying to login, Nuxt send request to /sanctum/csrf-cookie and then to /login. CSRF response back normally like on my localhost, but the browser do not set the cookie in memory. And the /login obviously return with a 419 (csrf mistmach).

Do you know where the problem might be?

Laravel .env

BROADCAST_DRIVER=log
CACHE_DRIVER=file
QUEUE_CONNECTION=sync
SESSION_DRIVER=cookie
SESSION_LIFETIME=120
SESSION_DOMAIN=https://my-domain.com
SANCTUM_STATEFUL_DOMAINS=https://my-domain.com
MEMCACHED_HOST=127.0.0.1

Nuxt config

auth: {
    strategies: {
      laravelSanctum: {
        provider: 'laravel/sanctum',
        url: process.env.BASE_URL,
      },
    },
  },

  axios: {
    baseURL: process.env.BASE_URL,
    credentials: true,
    headers: {
      Accept: 'application/json',
      'Content-Type': 'application/json',
    },
  },