bamboo will run happily on any modern webserver, in terms of what resources it uses itself its actually got a small footprint
The real challenge is the builds you are running and only you can know the type of hardware that these need to run on:
"For Bamboo, the minimum hardware requirements depend on the size and complexity of your plans. Considerations include:
Supported Platforms macOS Windows We recently introduced support for additional hosting services such as GitHub Enterprise, GitLab (Cloud, Community Edition, Enterprise Edition), and...
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