You can use the “first day of the month” input to prevent running it on the beginning at the month. It’s not the same you are asking for, but it might help for now.
I will take a look on how to prevent major releases (selectable via another input) and come back.
By the way, I would suggest you to use this newer Blueprint instead: Scheduled auto-update for Home Assistant as this one is based on Schedule helper (which provides more flexibility to run the updates in the right time windows, and not only a time to trigger per day).