Fix stream logging (#3489)

Equivalent to what was done by coloredlogs before it was removed in acad2ea (just without colour)

Author: wookie184

bot/log.py

@@ -1,4 +1,5 @@
 import logging
+import sys
 from logging import handlers
 from pathlib import Path
 
@@ -24,6 +25,10 @@ def setup() -> None:
         file_handler.setFormatter(core_logging.log_format)
         root_log.addHandler(file_handler)
 
+    stream_handler = logging.StreamHandler(sys.stdout)
+    stream_handler.setFormatter(core_logging.log_format)
+    root_log.addHandler(stream_handler)
+
     root_log.setLevel(logging.DEBUG if constants.DEBUG_MODE else logging.INFO)
 
     _set_trace_loggers()