Finish MVP and dockerize

docker/backend-fastapi.Dockerfile

@@ -0,0 +1,27 @@
+# syntax=docker/dockerfile:1.6
+
+FROM python:3.12-slim AS runtime
+
+ENV PYTHONDONTWRITEBYTECODE=1 \
+    PYTHONUNBUFFERED=1 \
+    PIP_NO_CACHE_DIR=1
+
+WORKDIR /app
+
+RUN apt-get update && apt-get install -y --no-install-recommends \
+    build-essential \
+    libpq-dev \
+  && rm -rf /var/lib/apt/lists/*
+
+COPY pyproject.toml uv.lock requirements.txt ./
+RUN pip install uv && uv pip install --system -r requirements.txt
+
+COPY alveslib ./alveslib
+COPY dlib ./dlib
+COPY apps/backend/fastapi ./apps/backend/fastapi
+
+WORKDIR /app/apps/backend/fastapi
+
+EXPOSE 8080
+
+CMD ["uvicorn", "app.main:app", "--host", "0.0.0.0", "--port", "8080"]