Two-stage build (node:22 → nginx:1.27) bakes dist/ into a static image.
nginx reverse-proxies /api/* to demo.flow-master.ai so live mode works
same-origin without CORS. CI runs vitest + build, then publishes
gitea.flow-master.ai/shad/mission-control-demo:sha-${git} on push to main.
Constraint: backend rejects cross-origin → same-origin proxy required
Confidence: high
Scope-risk: narrow
Not-tested: image actually built in Gitea Actions (requires registry secret)