[mod] engines: migrate to setup() from init() for simple tasks

searx/engines/s1search.py

@@ -38,12 +38,10 @@ CACHE: EngineCache
 """Cache to store verification tokens for pagination."""
 
 
-def init(_):
+def setup(engine_settings: dict[str, t.Any]) -> bool:
     if not base_url:
         raise ValueError("base_url must be set")
 
-
-def setup(engine_settings: dict[str, t.Any]) -> bool:
     global CACHE  # pylint: disable=global-statement
     CACHE = EngineCache(engine_settings["name"])
     return True