backend: add static serving + multi-stage Dockerfile, website: add API test dashboard

backend/Dockerfile

@@ -1,11 +1,16 @@
-FROM oven/bun:1.2.18 AS base
+FROM oven/bun:1.2.18 AS website-builder
+WORKDIR /website
+COPY website/package.json ./
+RUN bun install
+COPY website/ .
+RUN bun run build
 
+FROM oven/bun:1.2.18
 WORKDIR /app
-
-COPY package.json bun.lock tsconfig.json ./
-RUN bun install --frozen-lockfile
-
-COPY src ./src
+COPY backend/package.json backend/bun.lock backend/tsconfig.json ./
+RUN bun install --frozen-lockfile --production
+COPY backend/src ./src
+COPY --from=website-builder /website/dist ./public
 
 ENV NODE_ENV=production
 ENV PORT=8080