Add: add base fastapi backend

backend/Dockerfile

@@ -0,0 +1,20 @@
+FROM ghcr.io/astral-sh/uv:0.9.8-trixie-slim
+
+# Settings for UV
+ENV UV_COMPILE_BYTECODE=1
+ENV UV_TOOL_BIN_DIR=/usr/local/bin
+
+# Copy base project files
+COPY . /backend
+
+# Set working dir
+WORKDIR /backend
+
+# Run UV commands
+RUN uv sync --locked --no-install-project --no-dev
+
+# Add uv installed tools to path
+ENV PATH="/backend/.venv/bin:$PATH"
+
+# Clear entrypoint
+ENTRYPOINT []