Add browser session id to global context (#1867)

skyvern/forge/sdk/forge_log.py

@@ -34,6 +34,8 @@ def add_kv_pairs_to_msg(logger: logging.Logger, method_name: str, event_dict: Ev
             event_dict["workflow_run_id"] = context.workflow_run_id
         if context.task_v2_id:
             event_dict["task_v2_id"] = context.task_v2_id
+        if context.browser_session_id:
+            event_dict["browser_session_id"] = context.browser_session_id
 
     # Add env to the log
     event_dict["env"] = settings.ENV