logger added.

plex_client method naming fix.

app/utils/logger.py

@@ -0,0 +1,33 @@
+import logging
+import os
+
+LOG_PATH = os.path.abspath(
+    os.path.join(os.path.dirname(__file__), "..", "logs", "app.log"))
+
+LOG_LEVEL = logging.DEBUG
+
+def logger_initialize() -> logging.Logger:
+    """Initialize the logger for the application. Return a logger that logs to console and a app.log."""
+    logger = logging.getLogger("PlexPlaylistSync")
+    if logger.hasHandlers():
+        return logger
+
+    # check log path exists, if not create it
+    os.makedirs(os.path.dirname(LOG_PATH), exist_ok=True)
+
+    logger.setLevel(LOG_LEVEL)
+    # 2025-07-19 17:23:05,116 [levelname]: message
+    formatter = logging.Formatter("%(asctime)s [%(levelname)s]: %(message)s")
+    file_handler = logging.FileHandler(LOG_PATH, encoding="utf-8")
+    file_handler.setFormatter(formatter)
+
+    # add file handler
+    logger.addHandler(file_handler)
+    # console handler
+    console_handler = logging.StreamHandler()
+    console_handler.setFormatter(formatter)
+    logger.addHandler(console_handler)
+
+    return logger
+
+logger = logger_initialize()