괄호 안의 항을 2, 3, 4 항으로 설정하는 기능 추가

app/(game)/number-parentheses/play/page.tsx

@@ -1,9 +1,10 @@
 import NumberPlayClient from "./NumberPlayClient";
-import type { ProblemCount } from "@/store/gameStore";
+import type { MaxTermCount, ProblemCount } from "@/store/gameStore";
 
 interface NumberPlayPageProps {
   searchParams?: {
     count?: string | string[];
+    terms?: string | string[];
   };
 }
 
@@ -15,8 +16,22 @@ function parseProblemCount(count?: string | string[]): ProblemCount {
   return count === "5" ? 5 : 10;
 }
 
+function parseMaxTermCount(terms?: string | string[]): MaxTermCount {
+  if (Array.isArray(terms)) {
+    return parseMaxTermCount(terms[0]);
+  }
+
+  if (terms === "3") return 3;
+  if (terms === "4") return 4;
+
+  return 2;
+}
+
 export default function NumberPlayPage({ searchParams }: NumberPlayPageProps) {
   return (
-    <NumberPlayClient problemCount={parseProblemCount(searchParams?.count)} />
+    <NumberPlayClient
+      problemCount={parseProblemCount(searchParams?.count)}
+      maxTermCount={parseMaxTermCount(searchParams?.terms)}
+    />
   );
 }