@kingsley ugo welcome to the Atlassian community
Bamboo integrates with Confluence through an application link. Although there is not any documentation on server to cloud I would think it would be very similar to this: https://confluence.atlassian.com/bamboo/integrating-bamboo-with-confluence-289276944.html
You would have to try it but I believe the steps would be about the same. Of course, if your bamboo instance is behind a firewall you will need to make sure it has connectivity to the internet to make the application link work.
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