feat: create backend skeleton

backend/Dockerfile

@@ -0,0 +1,23 @@
+FROM ghcr.io/astral-sh/uv:python3.13-bookworm-slim
+
+WORKDIR /app
+
+ENV PATH="/app/.venv/bin:$PATH" \
+    RUN_ENVIRONMENT=prod \
+    UV_COMPILE_BYTECODE=1 \
+    UV_LINK_MODE=copy
+
+RUN apt-get update \
+    && apt-get install -y --no-install-recommends build-essential \
+    && rm -rf /var/lib/apt/lists/*
+
+COPY pyproject.toml uv.lock ./
+RUN uv sync --frozen --no-install-project --no-dev
+
+COPY src ./src
+RUN uv sync --frozen --no-dev
+
+COPY alembic.ini ./
+COPY migrations ./migrations
+
+ENTRYPOINT ["python", "-m"]