Refactor logging configuration to use AppData directory

- Updated config.example.json to set default log_file to null.
- Modified config.py to resolve log file paths relative to the AppData directory.
- Added methods to get default log directory and log file path in AppData.
- Ensured logging behavior is consistent whether a log_file is specified or not.

src/webdrop_bridge/config.py

@@ -126,8 +126,15 @@ class Config:
         # Get log file path
         log_file = None
         if data.get("enable_logging", True):
-            log_file_str = data.get("log_file", "logs/webdrop_bridge.log")
-            log_file = Path(log_file_str).resolve()
+            log_file_str = data.get("log_file", None)
+            if log_file_str:
+                log_file = Path(log_file_str)
+                # If relative path, resolve relative to app data directory instead of cwd
+                if not log_file.is_absolute():
+                    log_file = Config.get_default_log_dir() / log_file
+            else:
+                # Use default log path in app data
+                log_file = Config.get_default_log_path()
 
         app_name = data.get("app_name", "WebDrop Bridge")
         window_title = data.get("window_title", f"{app_name} v{__version__}")
@@ -178,7 +185,7 @@ class Config:
         else:
             app_version = os.getenv("APP_VERSION")
         log_level = os.getenv("LOG_LEVEL", "INFO").upper()
-        log_file_str = os.getenv("LOG_FILE", "logs/webdrop_bridge.log")
+        log_file_str = os.getenv("LOG_FILE", None)
         allowed_roots_str = os.getenv("ALLOWED_ROOTS", "Z:/,C:/Users/Public")
         allowed_urls_str = os.getenv("ALLOWED_URLS", "")
         webapp_url = os.getenv("WEBAPP_URL", "https://dev.agravity.io/")
@@ -227,7 +234,14 @@ class Config:
         # Create log file path if logging enabled
         log_file = None
         if enable_logging:
-            log_file = Path(log_file_str).resolve()
+            if log_file_str:
+                log_file = Path(log_file_str)
+                # If relative path, resolve relative to app data directory instead of cwd
+                if not log_file.is_absolute():
+                    log_file = Config.get_default_log_dir() / log_file
+            else:
+                # Use default log path in app data
+                log_file = Config.get_default_log_path()
 
         # Validate webapp URL is not empty
         if not webapp_url:
@@ -320,7 +334,7 @@ class Config:
         """Get the default configuration file path.
 
         Returns:
-            Path to default config file
+            Path to default config file in user's AppData/Roaming
         """
         import platform
         if platform.system() == "Windows":
@@ -329,6 +343,32 @@ class Config:
             base = Path.home() / ".config"
         return base / "webdrop_bridge" / "config.json"
 
+    @staticmethod
+    def get_default_log_dir() -> Path:
+        """Get the default directory for log files.
+        
+        Always uses user's AppData directory to ensure permissions work
+        correctly in both development and installed scenarios.
+
+        Returns:
+            Path to default logs directory in user's AppData/Roaming
+        """
+        import platform
+        if platform.system() == "Windows":
+            base = Path.home() / "AppData" / "Roaming"
+        else:
+            base = Path.home() / ".local" / "share"
+        return base / "webdrop_bridge" / "logs"
+
+    @staticmethod
+    def get_default_log_path() -> Path:
+        """Get the default log file path.
+
+        Returns:
+            Path to default log file in user's AppData/Roaming/webdrop_bridge/logs
+        """
+        return Config.get_default_log_dir() / "webdrop_bridge.log"
+
     def __repr__(self) -> str:
         """Return developer-friendly representation."""
         return (