feat(F-069): completed feature

project/frontend/src/app/api/shipping/methods/route.ts

@@ -0,0 +1,16 @@
+import { NextRequest, NextResponse } from 'next/server';
+
+const API = process.env.NEXT_PUBLIC_API_URL ?? 'http://127.0.0.1:3000';
+
+export async function GET(request: NextRequest) {
+  const { searchParams } = new URL(request.url);
+  const qs = searchParams.toString();
+  const url = `${API}/shipping/methods${qs ? `?${qs}` : ''}`;
+  try {
+    const res = await fetch(url, { cache: 'no-store' });
+    const body = await res.json().catch(() => ({ items: [] }));
+    return NextResponse.json(body, { status: res.status });
+  } catch {
+    return NextResponse.json({ items: [] }, { status: 502 });
+  }
+}