Is there a way to inform the airgap builder to build an image which isn't in a conventional resource (e.g. Deployment/StatefulSet/etc)?

Packaging an application
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1

Specifically what if you’re using the Minio operator, and the airgap builder isn’t pulling in the Minio tenant image because the manifest which it creates via the helm is a Minio Tenant CRD

2

Yes, you can use the additionalImages property in the kind: Application resource in your application release to specify images that aren’t referenced until runtime.