Yes will or there would be no point in doing it.
If you try very early it will check the email you gave and reissue the old but valid key, if you use a different email that you hadn't used before you would get a new key. There are three options as to why you need a new key. I always choose the last, number 3, and existing user with expired key or wording to that effect and you would get a new key even if you did it after a few months.