Out of the box, you can get email notifications about available updates via the “Daily Digest” emails, or use Pro Reports to send scheduled reports (daily, weekly, monthly).
If you want to build something custom, you’d likely want to look in the direction of hooking into MainWP update actions and triggering a custom wp_mail() notification.
After that, prepare an email for $my_action_logs_today and send to the dashboard admin.
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