diff --git a/src/build/docker/lib-c-docs/Dockerfile b/src/build/docker/lib-c-docs/Dockerfile
index 782e99994..f30dfba90 100644
--- a/src/build/docker/lib-c-docs/Dockerfile
+++ b/src/build/docker/lib-c-docs/Dockerfile
@@ -24,30 +24,9 @@ FROM nginx:alpine AS runtime
 ARG ADD_NOINDEX_HEADER=false
 ENV ADD_NOINDEX_HEADER=$ADD_NOINDEX_HEADER
 
-# Copy documentation
+# Copy documentation and entrypoint script
 COPY --from=builder /ghostty/zig-out/share/ghostty/doc/libghostty /usr/share/nginx/html
-
-# Create entrypoint script
-RUN cat > /entrypoint.sh << 'EOF'
-#!/bin/sh
-if [ "$ADD_NOINDEX_HEADER" = "true" ]; then
-    cat > /etc/nginx/conf.d/noindex.conf << 'INNER_EOF'
-server {
-    listen 80;
-    location / {
-        root /usr/share/nginx/html;
-        index index.html;
-        add_header X-Robots-Tag "noindex, nofollow" always;
-    }
-}
-INNER_EOF
-
-    # Remove default server config
-    rm -f /etc/nginx/conf.d/default.conf
-fi
-exec nginx -g "daemon off;"
-EOF
-
+COPY src/build/docker/lib-c-docs/entrypoint.sh /entrypoint.sh
 RUN chmod +x /entrypoint.sh
 
 EXPOSE 80
diff --git a/src/build/docker/lib-c-docs/entrypoint.sh b/src/build/docker/lib-c-docs/entrypoint.sh
new file mode 100755
index 000000000..928d6e163
--- /dev/null
+++ b/src/build/docker/lib-c-docs/entrypoint.sh
@@ -0,0 +1,16 @@
+#!/bin/sh
+if [ "$ADD_NOINDEX_HEADER" = "true" ]; then
+    cat > /etc/nginx/conf.d/noindex.conf << 'EOF'
+server {
+    listen 80;
+    location / {
+        root /usr/share/nginx/html;
+        index index.html;
+        add_header X-Robots-Tag "noindex, nofollow" always;
+    }
+}
+EOF
+    # Remove default server config
+    rm -f /etc/nginx/conf.d/default.conf
+fi
+exec nginx -g "daemon off;"