Hi @VinceV2022 ,
Microsoft is actively working on a group policy to control the appearance of the new Edge for Business banner. If there's any update, I'll post it in my answer as soon as possible. Thanks for your understanding!
UPDATE
Starting with Edge 117.0.2045.21, the following policy will also control the banner to appear: PromotionalTabsEnabled , which needs to be disabled.
With Edge 118, the banner will not be shown at all.
With Edge Version 116.0.1938.76, the banner will be shown only 3 times to the user, in case he did not yet click the "Dismiss" button.
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Best Regards,
Shijie Li