Switch Dockerfile to use uv for dependency management

- Install uv via official installer script
- Replace pip with uv pip install --system
- Add uv to PATH for container usage

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

Dockerfile

@@ -2,17 +2,21 @@ FROM python:3.13-slim
 
 WORKDIR /app
 
-# Install system dependencies
+# Install system dependencies and uv
 RUN apt-get update && apt-get install -y \
     build-essential \
     curl \
-    && rm -rf /var/lib/apt/lists/*
+    && rm -rf /var/lib/apt/lists/* \
+    && curl -LsSf https://astral.sh/uv/install.sh | sh
+
+# Add uv to PATH
+ENV PATH="/root/.local/bin:$PATH"
 
 # Copy dependency files
 COPY pyproject.toml ./
 
-# Install Python dependencies
-RUN pip install --no-cache-dir -e .
+# Install Python dependencies using uv
+RUN uv pip install --system -e .
 
 # Copy application code
 COPY *.py ./