diff --git a/Dockerfile b/Dockerfile
index e6fad061..bfab4bd0 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -20,13 +20,11 @@ RUN apk --no-cache add ${PACKAGES} && \
 
 WORKDIR /algo
 
-# Copy dependency files first for better layer caching
-COPY pyproject.toml uv.lock ./
-
 # Copy uv binary from official image (using latest tag for automatic updates)
 COPY --from=ghcr.io/astral-sh/uv:latest /uv /bin/uv
 
-# Install Python dependencies
+# Copy dependency files and install in single layer for better optimization
+COPY pyproject.toml uv.lock ./
 RUN uv sync --frozen --no-dev
 
 # Copy application code
diff --git a/algo b/algo
index b573ded0..d181387f 100755
--- a/algo
+++ b/algo
@@ -131,6 +131,8 @@ if ! command -v uv &> /dev/null; then
     fi
     
     # Reload PATH to find uv (includes pipx, cargo, and snap paths)
+    # Note: This PATH change only affects the current shell session.
+    # Users may need to restart their terminal for subsequent runs.
     export PATH="$HOME/.local/bin:$HOME/.cargo/bin:/snap/bin:$PATH"
     
     # Verify installation worked