[Fix/#79] 404 및 405 글로벌 예외 처리 추가 (#80)

## 📌 관련 이슈
- close #79 

## ✨ 변경 사항
- `NoResourceFoundException` 핸들링 추가
- `HttpRequestMethodNotSupportedException` 핸들링 추가

## 📸 테스트 증명 (필수)
<img width="325" height="98" alt="스크린샷 2026-03-27 오후 2 39 23"
src="https://github.com/user-attachments/assets/6d5fec48-e37d-4493-9725-2ba36b443516"
/>

<img width="347" height="99" alt="스크린샷 2026-03-27 오후 2 39 31"
src="https://github.com/user-attachments/assets/9f186fdd-3530-4107-a902-d0b7a30d582c"
/>

## 📚 리뷰어 참고 사항
- 

## ✅ 체크리스트
- [x] 브랜치 전략(git flow)을 따랐나요?
- [x] 로컬에서 빌드 및 실행이 정상적으로 되나요?
- [x] 불필요한 주석이나 더미 코드는 제거했나요?
- [x] 컨벤션(커밋 메시지, 코드 스타일)을 지켰나요?
- [x] spotlessApply 실행했나요?

<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->

## Summary by CodeRabbit

## Release Notes

* **Improvements**
* Enhanced error handling with clearer messages when requested resources
cannot be found.
  * Improved error responses for unsupported HTTP request methods.

<!-- end of auto-generated comment: release notes by coderabbit.ai -->

Author: SeHyeonCho

src/main/java/com/swyp/server/global/exception/ErrorCode.java

@@ -11,6 +11,8 @@ public enum ErrorCode {
     INVALID_INPUT_VALUE(40000, 400, "입력값이 올바르지 않습니다."),
     INTERNAL_SERVER_ERROR(50000, 500, "서버 오류가 발생했습니다."),
     DATA_INTEGRITY_VIOLATION(40900, 409, "요청을 처리할 수 없습니다."),
+    RESOURCE_NOT_FOUND(40400, 404, "요청한 리소스를 찾을 수 없습니다."),
+    METHOD_NOT_ALLOWED(40500, 405, "지원하지 않는 HTTP 메서드입니다."),
 
     // Auth
     UNAUTHORIZED(40100, 401, "인증이 필요합니다."),

src/main/java/com/swyp/server/global/exception/GlobalExceptionHandler.java

@@ -9,14 +9,17 @@
 import jakarta.validation.ConstraintViolationException;
 import lombok.extern.slf4j.Slf4j;
 import org.springframework.dao.DataIntegrityViolationException;
+import org.springframework.http.HttpHeaders;
 import org.springframework.http.ResponseEntity;
 import org.springframework.http.converter.HttpMessageNotReadableException;
 import org.springframework.validation.FieldError;
+import org.springframework.web.HttpRequestMethodNotSupportedException;
 import org.springframework.web.bind.MethodArgumentNotValidException;
 import org.springframework.web.bind.MissingServletRequestParameterException;
 import org.springframework.web.bind.annotation.ExceptionHandler;
 import org.springframework.web.bind.annotation.RestControllerAdvice;
 import org.springframework.web.method.annotation.MethodArgumentTypeMismatchException;
+import org.springframework.web.servlet.resource.NoResourceFoundException;
 
 @Slf4j
 @RestControllerAdvice
@@ -107,6 +110,34 @@ public ResponseEntity<ApiResponse<Void>> handleIntegrityViolationException(
                                 DATA_INTEGRITY_VIOLATION.getMessage()));
     }
 
+    @ExceptionHandler(NoResourceFoundException.class)
+    public ResponseEntity<ApiResponse<Void>> handleNoResourceFoundException(
+            NoResourceFoundException e) {
+        log.warn("NoResourceFoundException: {}", e.getResourcePath());
+
+        return ResponseEntity.status(ErrorCode.RESOURCE_NOT_FOUND.getStatus())
+                .body(
+                        ApiResponse.fail(
+                                ErrorCode.RESOURCE_NOT_FOUND.getCode(),
+                                ErrorCode.RESOURCE_NOT_FOUND.getMessage()));
+    }
+
+    @ExceptionHandler(HttpRequestMethodNotSupportedException.class)
+    public ResponseEntity<ApiResponse<Void>> handleMethodNotSupportedException(
+            HttpRequestMethodNotSupportedException e) {
+        log.warn("HttpRequestMethodNotSupportedException: {}", e.getMethod());
+
+        HttpHeaders headers = new HttpHeaders();
+        headers.putAll(e.getHeaders());
+
+        return ResponseEntity.status(ErrorCode.METHOD_NOT_ALLOWED.getStatus())
+                .headers(headers)
+                .body(
+                        ApiResponse.fail(
+                                ErrorCode.METHOD_NOT_ALLOWED.getCode(),
+                                ErrorCode.METHOD_NOT_ALLOWED.getMessage()));
+    }
+
     @ExceptionHandler(Exception.class)
     public ResponseEntity<ApiResponse<Void>> handleException(Exception e) {