Initial working calendar system

- Full CRUD events (create, edit, delete API)
- Day + Event modal UX flow
- Timezone-safe event handling
- Dockerized API + frontend + Postgres
- Vite + Fastify integration working

apps/api/Dockerfile

@@ -0,0 +1,16 @@
+FROM node:20-alpine
+
+WORKDIR /app
+
+COPY package.json pnpm-lock.yaml pnpm-workspace.yaml ./
+COPY apps/api/package.json apps/api/package.json
+
+RUN corepack enable && pnpm install --filter ./apps/api... --frozen-lockfile=false
+
+COPY apps/api ./apps/api
+
+WORKDIR /app/apps/api
+
+EXPOSE 3000
+
+CMD ["pnpm", "dev"]