Urgent US Passport appointment

I have an appointment later this week at the Houston passport agency for urgent passport processing. I’m traveling from out of town just for the appointment, and my international trip is one week after the appointment date. I’m trying to figure out what to expect:

Do they usually issue the passport same day, or Will they mail it to me afterward if my travel date is a week out?

Since I’m not local to Houston, I’m wondering if I should plan to stay the whole day in case of same-day pickup, or if mailing is the more likely outcome.

If anyone has recent experience with the Houston agency (or urgent processing in general), I’d really appreciate hearing how it went. Thanks! 🙏🏻