[MM-27952] Fix some logging related races (#15404)

* Fix some logging races

* Move initLogging after config store initialization

mlog/testing.go

@@ -35,7 +35,7 @@ func NewTestingLogger(tb testing.TB, writer io.Writer) *Logger {
 		logrLogger:   newLogr(),
 	}
 
-	logWriterCore := zapcore.NewCore(makeEncoder(true), logWriterSync, testingLogger.consoleLevel)
+	logWriterCore := zapcore.NewCore(makeEncoder(true), zapcore.Lock(logWriterSync), testingLogger.consoleLevel)
 
 	testingLogger.zap = zap.New(logWriterCore,
 		zap.AddCaller(),