Question about Birthright Registration

I’ve been approved for a Birthright winter trip and registration opens on September 4th. I still need to pay the deposit of $250 but it’s just been the first of the month and I had to pay my rent so I probably won’t have my deposit money for about a week. My question is how quickly do trips actually fill up and close? If I wait a week will it most likely be closed by then, or probably not? I’m sure Birthright can’t give me an answer on this because they’re not sure I was just wondering if anyone has any knowledge or experience with this and could help me