Following this E-book article you’d be able to migrate multiple accounts at a time and don’t need to use Outlook software or wait to sync the PST files. Once you start the migration you can close the window and do other works.
If you already finished the deployment and changed the DNS for the customer’s domain and still wanted to migrate emails from G-Suite you can do so without changing the DNS records. As because Microsoft Office 365 Admin Center Migration tool will import the emails from imap.gmail.com or imap.googlemail.com
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Disclaimer: This PDF E-book is or will not take any liabilities regarding data loss or any error following the process. Please proceed at your own risk and it’s recommend to backup your data before proceeding. The contents captured through the screenshot, reserves the rights to their respective owners. This guide is for Educational purpose only.