fix: improve landing page

apps/public/src/components/eu-flag.tsx

@@ -0,0 +1,37 @@
+function star(cx: number, cy: number, outerR: number, innerR: number) {
+  const pts: string[] = [];
+  for (let i = 0; i < 10; i++) {
+    const r = i % 2 === 0 ? outerR : innerR;
+    const angle = (i * Math.PI) / 5 - Math.PI / 2;
+    pts.push(`${cx + r * Math.cos(angle)},${cy + r * Math.sin(angle)}`);
+  }
+  return pts.join(' ');
+}
+
+const STARS = Array.from({ length: 12 }, (_, i) => {
+  const angle = (i * 30 - 90) * (Math.PI / 180);
+  return {
+    x: 12 + 5 * Math.cos(angle),
+    y: 8 + 5 * Math.sin(angle),
+  };
+});
+
+export function EuFlag({ className }: { className?: string }) {
+  return (
+    <svg
+      className={className}
+      viewBox="0 0 24 16"
+      xmlns="http://www.w3.org/2000/svg"
+    >
+      <rect fill="#003399" height="16" rx="1.5" width="24" />
+      {STARS.map((s, i) => (
+        <polygon
+          // biome-ignore lint/suspicious/noArrayIndexKey: static data
+          key={i}
+          fill="#FFCC00"
+          points={star(s.x, s.y, 1.1, 0.45)}
+        />
+      ))}
+    </svg>
+  );
+}