I think what others are trying to say is that you should put
the refi company on hold for the time being. So they do not hard pull each time.
That could/probably is, hurnting your score somewhat.
Then, YOU personally keep an eye on your scores, since it would be soft pull and no harm.
Then when your scores are where you want them to be, i.e. 720 or whatever,
then you can let the refi company do their hard pull to get the deal done.