Cannot not connect to SMTP Sendinblue x Strapi

I’m currently looking to send email with my strapi backend.
I follow this tutorial to make it work.
In short, the tutorial tell you to install strapi-provider-email-nodemailer that is provider agnostic.

Now, I get an error Error: can not connect to any SMTP server,
I don’t understand why because I made everything the same as it’s recommended in the tutorial…

Here is my plugin file :

module.exports = ({ env }) => ({
    // ...
    email: {
      provider: env('EMAIL_PROVIDER'),
      providerOptions: {
        host: env('EMAIL_SMTP_HOST', 'smtp.example.com'),
        port: env('EMAIL_SMTP_PORT', 587),
        auth: {
          user: env('EMAIL_SMTP_USER'),
          pass: env('EMAIL_SMTP_PASS'),
        },
      },
      settings: {
        defaultFrom: env('EMAIL_ADDRESS_FROM'),
        defaultReplyTo: env('EMAIL_ADDRESS_REPLY'),
      },
    },
    // ...
  })

and this is my .env file :

EMAIL_PROVIDER=nodemailer
EMAIL_SMTP_HOST=smtp-relay.sendinblue.com
EMAIL_SMTP_PORT=587
[email protected]
EMAIL_SMTP_PASS=mypassword
[email protected]
[email protected]

If somebody as an idea…
Thanks a lot.