I read that if you do it the above way, you will get a confirmation for it but when you get to BOG it will not work. They have a list of who got the invites and if you are not on it they will turn you away.
I would hate for you to be disappointed if that happens.
I also read of some people who have gotten their invite in 23 - 26 days so maybe it will still come. Also, I have read that if you call them and ask they will give you one.
Not sure if this helps...