refactor: simplify init_btn.click() event

app.py

@@ -395,16 +395,15 @@ _{personality_desc}_"""
                 outputs=exec_output,
             )
 
-            # Auto-fill session_id when starting a new game
-            def init_game_and_extract_session(personality: str):
-                result = init_game(personality)
-                session_id = result.get("session_id", "")
-                return result, session_id, session_id
-
+            # Link init_game output to session_id inputs for testing
             init_btn.click(
-                fn=init_game_and_extract_session,
+                fn=init_game,
                 inputs=personality_input,
-                outputs=[init_output, session_id_input, exec_session_id],
+                outputs=init_output,
+            ).then(
+                fn=lambda res: [res.get("session_id")] * 2,
+                inputs=init_output,
+                outputs=[session_id_input, exec_session_id],
             )