chore: dockerize monorepo with multi-stage builds and update frontend

apps/api/Dockerfile

@@ -0,0 +1,22 @@
+FROM node:20-alpine AS builder
+
+ENV PNPM_HOME="/pnpm"
+ENV PATH="$PNPM_HOME:$PATH"
+RUN corepack enable pnpm
+
+WORKDIR /app
+
+COPY . .
+
+RUN pnpm install --frozen-lockfile
+RUN pnpm --filter @lucky-wheel/api build
+RUN pnpm deploy --filter @lucky-wheel/api --prod /prod/api
+
+FROM node:20-alpine AS runner
+
+WORKDIR /app
+COPY --from=builder /prod/api .
+
+EXPOSE 3000
+
+CMD ["node", "dist/src/main"]