test: make context-failure regressions deterministic and simplify alarm log handling

Co-authored-by: genichin <4282227+genichin@users.noreply.github.com>

trex_core/application/alarm_emitter.py

@@ -17,7 +17,6 @@ where no broker connection exists.  In that case publish_alarm() logs and skips.
 from __future__ import annotations
 
 import logging
-import sys
 from datetime import datetime, timedelta, timezone
 
 from trex_core.adapters.messaging.topology import alarm_routing_key
@@ -91,11 +90,9 @@ class AlarmEmitter:
                 code, title,
             )
             return False
-        except Exception:  # noqa: BLE001 — alarm must never crash the caller
-            exc = sys.exc_info()[1]
-            exc_name = type(exc).__name__ if exc is not None else "Exception"
+        except Exception as exc:  # noqa: BLE001 — alarm must never crash the caller
             _log.error(
                 "alarm publish failed: code=%s title=%s error_type=%s",
-                code, title, exc_name,
+                code, title, type(exc).__name__,
             )
             return False