Hello, @Camille Ross Ann Rudio,
Welcome to the Microsoft Q&A platform!
Yes, after removing the Hybrid Configuration Wizard (HCW) from an Exchange server, you can still reconfigure the HCW on the same Exchange server, even if you are using the same Microsoft 365 tenant. Here are the general steps to follow:
1.Download and Install HCW: You can download the HCW from the Exchange Admin Center or the Microsoft 365 Admin Center.
2.Run the HCW: Launch the HCW and sign in with your Microsoft 365 global administrator account.
3.Follow the prompts: The wizard will guide you through the necessary steps to re-establish the hybrid configuration. You will need to provide appropriate credentials for both your on-premises Exchange server and your Microsoft 365 tenant.
4.Verify and finalize: After the HCW completes, it will provide you with a summary of the configuration changes made. Verify that everything looks correct and finalize the setup.
If you encounter any issues or need detailed guidance, Microsoft's documentation on the Hybrid Configuration Wizard can be very helpful: https://learn.microsoft.com/en-us/exchange/hybrid-configuration-wizard.
One point you need to note is that, since you're using the same Microsoft 365 tenant, you won't need to reverify your domain ownership if the federation trust still exists and is valid. However, ensure that all prerequisites are met, such as having the necessary permissions and valid certificates. If you need to change the mail flow configuration, you will need to re-run the HCW and make the necessary adjustments.
In addition, a case study similar to your needs is provided for your reference: https://learn.microsoft.com/en-us/answers/questions/183403/re-running-reconfiguring-exchange-hcw,
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Thank you for your support and understanding.
Best Wishes,
Alex Zhang