feat: Add comprehensive logging system with console and file output

- Create logging infrastructure in src/infrastructure/logging/
  - logger.py: Main logging setup with console and file handlers
  - uvicorn_config.py: Custom uvicorn logging configuration
  - __init__.py: Export public logging API

- Update FastAPI application to use logging
  - Replace all print() statements with proper logger calls
  - Initialize logging during application startup
  - Add detailed startup/shutdown logging

- Add startup scripts
  - run_server.py: Python script with uvicorn logging config
  - start_server.sh: Bash wrapper script

- Add comprehensive documentation
  - docs/logging.md: User guide for logging system
  - docs/logging_implementation_summary.md: Technical implementation details

Features:
- Console logging with clean, readable format
- File logging with timestamps to logs/fastapi_app.log
- Configurable log level via LOG_LEVEL environment variable
- Proper lazy formatting for performance
- Captures all uvicorn, application, and module logs
- Automatic log directory creation

src/infrastructure/logging/uvicorn_config.py

@@ -0,0 +1,79 @@
+"""
+Uvicorn logging configuration for the Aniworld application.
+
+This configuration ensures that uvicorn logs are properly formatted and
+written to both console and file.
+"""
+from pathlib import Path
+
+# Get the logs directory
+LOGS_DIR = Path(__file__).parent.parent.parent.parent / "logs"
+LOGS_DIR.mkdir(parents=True, exist_ok=True)
+LOG_FILE = LOGS_DIR / "fastapi_app.log"
+
+LOGGING_CONFIG = {
+    "version": 1,
+    "disable_existing_loggers": False,
+    "formatters": {
+        "default": {
+            "format": "%(levelprefix)s %(message)s",
+            "use_colors": None,
+        },
+        "detailed": {
+            "format": "%(asctime)s - %(name)s - %(levelname)s - %(message)s",
+            "datefmt": "%Y-%m-%d %H:%M:%S",
+        },
+    },
+    "handlers": {
+        "console": {
+            "class": "logging.StreamHandler",
+            "level": "INFO",
+            "formatter": "default",
+            "stream": "ext://sys.stdout",
+        },
+        "file": {
+            "class": "logging.FileHandler",
+            "level": "INFO",
+            "formatter": "detailed",
+            "filename": str(LOG_FILE),
+            "mode": "a",
+            "encoding": "utf-8",
+        },
+    },
+    "loggers": {
+        "uvicorn": {
+            "handlers": ["console", "file"],
+            "level": "INFO",
+            "propagate": False,
+        },
+        "uvicorn.error": {
+            "handlers": ["console", "file"],
+            "level": "INFO",
+            "propagate": False,
+        },
+        "uvicorn.access": {
+            "handlers": ["console", "file"],
+            "level": "INFO",
+            "propagate": False,
+        },
+        "aniworld": {
+            "handlers": ["console", "file"],
+            "level": "INFO",
+            "propagate": False,
+        },
+    },
+    "root": {
+        "handlers": ["console", "file"],
+        "level": "INFO",
+    },
+}
+
+
+def get_uvicorn_log_config() -> dict:
+    """
+    Get the uvicorn logging configuration dictionary.
+    
+    Returns:
+        Dictionary containing logging configuration
+    """
+    return LOGGING_CONFIG