Consolidate docker checks

bin/update-repo

@@ -16,17 +16,8 @@ ARCH_DIR="$BUILD_ROOT/pkgs.omarchy.org/$ARCH"
 update_database() {
   print_info "Updating repository database in Docker container..."
 
-  # Check for Docker
-  if ! command -v docker &>/dev/null; then
-    print_error "Docker is not installed"
-    exit 1
-  fi
-
-  # Check if Docker daemon is running
-  if ! docker info &>/dev/null; then
-    print_error "Docker daemon is not running"
-    exit 1
-  fi
+  # Check Docker is available
+  check_docker
 
   # Ensure output directory exists
   if [[ ! -d "$ARCH_DIR" ]]; then
@@ -42,11 +33,8 @@ update_database() {
     sudo chown -R $(id -u):$(id -g) "$ARCH_DIR" 2>/dev/null || chmod -R 777 "$ARCH_DIR"
   fi
 
-  # Build Docker image if needed (reuse the same image as build)
-  if ! docker image inspect omarchy-aur-builder:latest &>/dev/null; then
-    print_info "Building Docker image..."
-    docker build -t omarchy-aur-builder:latest -f "$BUILD_DIR/Dockerfile" "$BUILD_DIR"
-  fi
+  # Build Docker image
+  build_docker_image "$BUILD_DIR"
 
   # Run repo-add in Docker container
   docker run --rm \