풀이가 끝나고 나서, 첫 화면으로 돌아온 뒤 다시 시작할 때 결과화면이 나오는 오류 수정

app/StartControls.tsx

@@ -14,6 +14,7 @@ export default function StartControls() {
     (state) => state.selectedProblemCount,
   );
   const setProblemCount = useGameStore((state) => state.setProblemCount);
+  const initSession = useGameStore((state) => state.initSession);
 
   useEffect(() => {
     startLinkRef.current?.focus();
@@ -25,6 +26,7 @@ export default function StartControls() {
         <Link
           ref={startLinkRef}
           href={`/play?count=${selectedProblemCount}`}
+          onClick={() => initSession(selectedProblemCount)}
           className="inline-flex h-12 items-center justify-center rounded-md bg-emerald-700 px-6 text-base font-semibold text-white transition hover:bg-emerald-800 focus:outline-none focus:ring-2 focus:ring-emerald-500 focus:ring-offset-2"
         >
           연습 시작