How to forward emails that were received in a Microsoft 365 Group?

Probably will need to create a transport rule and test:

https://community.spiceworks.com/topic/2318760-email-forwarding-for-office-365-group

Or just add your mailbox to the group membership and check the option to send all groups messages to your inbox.

Yes, you can set up email forwarding for your Microsoft 365 Group to ensure that emails received in the group are forwarded to another mailbox. Here's how you can do it:

1. Sign in to your Microsoft 365 account and open Outlook.
2. Go to the Microsoft 365 Group that you want to set up email forwarding for.
3. Click on the "Settings" (gear) icon in the top-right corner of the page and select "Group settings" from the dropdown menu.
4. In the group settings page, navigate to the "Email" section.
5. Under the "Email forwarding" option, click on "Edit" or "Add forwarding address," depending on the current configuration.
6. In the dialog box that appears, enter the email address where you want to forward the group emails. You can enter multiple addresses by separating them with a semicolon (;).
7. Make sure to check the box that says "Keep a copy of forwarded messages in the group mailbox" if you want to retain a copy of the forwarded emails in the group mailbox. If you don't check this option, forwarded emails will only be delivered to the forwarding address.
8. Click "Save" or "Apply" to save the changes.

Once you've set up email forwarding, any emails received in the Microsoft 365 Group will be automatically forwarded to the specified email addresses. Remember to periodically review the group's tag in Outlook as well to ensure you don't miss any important messages.