feat(app): finalize ad gated flows and weather

- add AppLogger and replace scattered print logging\n- implement ad-gated recommendation flow with reminder handling and calendar link\n- complete Bluetooth share pipeline with ad gate and merge\n- integrate KMA weather API with caching and dart-define decoding\n- add NaverUrlProcessor refactor and restore restaurant repository tests

lib/data/api/naver_api_client.dart

@@ -1,5 +1,6 @@
 import 'package:dio/dio.dart';
 import 'package:flutter/foundation.dart';
+import 'package:lunchpick/core/utils/app_logger.dart';
 
 import '../../core/network/network_client.dart';
 import '../../core/errors/network_exceptions.dart';
@@ -88,7 +89,11 @@ class NaverApiClient {
 
       return response.data!;
     } on DioException catch (e) {
-      debugPrint('fetchMapPageHtml error: $e');
+      AppLogger.error(
+        'fetchMapPageHtml error: $e',
+        error: e,
+        stackTrace: e.stackTrace,
+      );
 
       if (e.error is NetworkException) {
         throw e.error!;
@@ -123,9 +128,9 @@ class NaverApiClient {
     final pcmapUrl = 'https://pcmap.place.naver.com/restaurant/$placeId/home';
 
     try {
-      debugPrint('========== 네이버 pcmap 한글 추출 시작 ==========');
-      debugPrint('요청 URL: $pcmapUrl');
-      debugPrint('Place ID: $placeId');
+      AppLogger.debug('========== 네이버 pcmap 한글 추출 시작 ==========');
+      AppLogger.debug('요청 URL: $pcmapUrl');
+      AppLogger.debug('Place ID: $placeId');
 
       String html;
       if (kIsWeb) {
@@ -148,7 +153,7 @@ class NaverApiClient {
         );
 
         if (response.statusCode != 200 || response.data == null) {
-          debugPrint(
+          AppLogger.error(
             'NaverApiClient: pcmap 페이지 로드 실패 - status: ${response.statusCode}',
           );
           return {
@@ -172,11 +177,11 @@ class NaverApiClient {
         html,
       );
 
-      debugPrint('========== 추출 결과 ==========');
-      debugPrint('총 한글 텍스트 수: ${koreanTexts.length}');
-      debugPrint('JSON-LD 상호명: $jsonLdName');
-      debugPrint('Apollo State 상호명: $apolloName');
-      debugPrint('=====================================');
+      AppLogger.debug('========== 추출 결과 ==========');
+      AppLogger.debug('총 한글 텍스트 수: ${koreanTexts.length}');
+      AppLogger.debug('JSON-LD 상호명: $jsonLdName');
+      AppLogger.debug('Apollo State 상호명: $apolloName');
+      AppLogger.debug('=====================================');
 
       return {
         'success': true,
@@ -187,8 +192,12 @@ class NaverApiClient {
         'apolloStateName': apolloName,
         'extractedAt': DateTime.now().toIso8601String(),
       };
-    } catch (e) {
-      debugPrint('NaverApiClient: pcmap 페이지 파싱 실패 - $e');
+    } catch (e, stackTrace) {
+      AppLogger.error(
+        'NaverApiClient: pcmap 페이지 파싱 실패 - $e',
+        error: e,
+        stackTrace: stackTrace,
+      );
       return {
         'success': false,
         'error': e.toString(),