SMTP credentials for using SES can be setup using the following guide https://docs.aws.amazon.com/ses/latest/dg/smtp-credentials.html#smtp-credentials-console.
Your account will need to be out of the SES sandbox for emails to be sent to addresses other than what you have verified as per https://docs.aws.amazon.com/ses/latest/dg/request-production-access.html
If the above has already been done for your account are you seeing any errors in the logs for your application?
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