feat: OAuth 제공자 추출 및 로그인 테스트 개선

src/lib/llm/prompt/get_oauth/prompt.py

@@ -31,6 +31,7 @@ Your task is to navigate to the login page of the given URL. Follow the steps be
   - Username/password fields
   - Email-based login
   - Non-OAuth methods such as certificate or phone verification
+- ✅ If you are unsure whether a button is OAuth-based or not, you MUST click the button and check the redirect behavior yourself.
 
 3. RETURN FORMAT
 - If the login page is successfully found, return:
@@ -58,4 +59,5 @@ Your task is to navigate to the login page of the given URL. Follow the steps be
     }
     ```
 - Return ONLY the JSON object. Do NOT include any explanation, logging, or extra output.
+
 """