Same here, just traded 2018 S100D with FSD for 2023 S LR, opting to transfer the FSD as per new policy supposedly expiring at the end of September.
My new vehicle and my Tesla app confirm that I have FSD, but not the beta, so what I have is presumably very old city driving AP capability.
My new car as delivered to me has release 2023.20.200. There is a newer release 2023.26.10 that includes FSD beta 11.4.4, but TeslaFi is showing no HW4 cars on that release yet. There is a new 11.4.7 release available to Tesla employees so far, but that is with 2023.7.30, an earlier release branch from mine, so as I understand it this won’t be available to my vehicle.
I have been watching this play out for a few months before my trade-in, so my optimist side says “it will be pretty soon now”. I sure hope so, because I miss that city driving beta a lot, it worked quite well in my 2018 vehicle with HW3.