You can have user emails in a domain in one of two ways. If you want to save it to AWS, promote the EC2 instance and start the mail server of your choice, or just use the third party / provider mail batch (for example, Gmail or save the email that I use) and just point your MX records to these external mail servers.
I also want AWS to offer email hosting (and domain registration), but it's not hard to just put the small parts of your solution.
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