fix(auth): resume Kakao OTP during auto login

hwe/ts/gateway/loginFlow.ts

@@ -0,0 +1,18 @@
+import type { AutoLoginFailed } from '@/defs/API/Login';
+
+export const OTP_REQUIRED_MESSAGE = '인증 코드 입력이 필요합니다.';
+
+export type AutoLoginFailureAction = 'retry' | 'prompt_otp' | 'alert' | 'silent';
+
+export function classifyAutoLoginFailure(result: AutoLoginFailed, attempt: number): AutoLoginFailureAction {
+    if (result.reason === '자동 로그인: 절차 오류' && attempt === 0) {
+        return 'retry';
+    }
+    if (result.reqOTP) {
+        return 'prompt_otp';
+    }
+    if (result.silent) {
+        return 'silent';
+    }
+    return 'alert';
+}