Let’s just make things as easy as possible for non-technical clients.
- Rename “Deployment status” dropdown to “Publish”
- Rename “Deployed” as a status to “Live”
- Rename “Build now” to “Publish Now”
If you’re worried the word “Publish” will clash with its use in the Draft/Published system, you could instead stick with the word “Build”. But “Deployment status”/“Deployment” in particular sounds very technical and this can make clients feel the system isn’t so easy to use.