fix(logging): Fix deadlock in log batcher

Author: sentrivana

sentry_sdk/integrations/logging.py

@@ -1,5 +1,6 @@
 import logging
 import sys
+import threading
 from datetime import datetime, timezone
 from fnmatch import fnmatch
 
@@ -321,20 +322,29 @@ class SentryLogsHandler(_BaseHandler):
     Note that you do not have to use this class if the logging integration is enabled, which it is by default.
     """
 
+    _emitting = threading.local()
+
     def emit(self, record: "LogRecord") -> "Any":
-        with capture_internal_exceptions():
-            self.format(record)
-            if not self._can_record(record):
-                return
+        if getattr(self._emitting, "active", False):
+            return
+
+        self._emitting.active = True
+        try:
+            with capture_internal_exceptions():
+                self.format(record)
+                if not self._can_record(record):
+                    return
 
-            client = sentry_sdk.get_client()
-            if not client.is_active():
-                return
+                client = sentry_sdk.get_client()
+                if not client.is_active():
+                    return
 
-            if not has_logs_enabled(client.options):
-                return
+                if not has_logs_enabled(client.options):
+                    return
 
-            self._capture_log_from_record(client, record)
+                self._capture_log_from_record(client, record)
+        finally:
+            self._emitting.active = False
 
     def _capture_log_from_record(
         self, client: "BaseClient", record: "LogRecord"