fix: 修復選擇題模式的 TypeScript 型別錯誤

為 selectedOtherWords 變數加上明確的 string[] 型別宣告，
解決了 TypeScript 無法推斷變數型別的編譯錯誤。

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

frontend/app/learn/page.tsx

@@ -112,14 +112,26 @@ export default function LearnPage() {
     setMounted(true)
     const currentWord = cards[currentCardIndex].word;
 
-    // Generate quiz options with current word and other words from the deck
+    // Generate quiz options with current word and other words
     const otherWords = cards
       .filter((_, idx) => idx !== currentCardIndex)
-      .map(card => card.word)
+      .map(card => card.word);
-      .slice(0, 3); // Take 3 other words
 
-    // Add the current word and shuffle
+    // If we don't have enough words in the deck, add some default options
-    const options = [currentWord, ...otherWords].sort(() => Math.random() - 0.5);
+    const additionalOptions = ['determine', 'achieve', 'consider', 'negotiate', 'establish', 'maintain'];
+    const allOtherWords = [...otherWords, ...additionalOptions];
+
+    // Take 3 other words (avoiding duplicates)
+    const selectedOtherWords: string[] = [];
+    for (const word of allOtherWords) {
+      if (selectedOtherWords.length >= 3) break;
+      if (word !== currentWord && !selectedOtherWords.includes(word)) {
+        selectedOtherWords.push(word);
+      }
+    }
+
+    // Ensure we have exactly 4 options: current word + 3 others
+    const options = [currentWord, ...selectedOtherWords].sort(() => Math.random() - 0.5);
     setQuizOptions(options);
 
     // Reset quiz state when card changes