I've been on TICA's website a lot and the online registration appears to be for breeders and members only. The best thing is to go through the mail or you can email them at their executive offices and ask your questions.
The cattery prefix is always already on the blue registration paper. GOLDENDOTS is a TICA registered cattery. I just checked. I would not be too concerned -- so many catteries swap out cats. They truly move from breeder to breeder. The important thing is the parents pedigreed names and registration numbers are on the piece of paper. Your kitty will have the GoldenDots prefix because it's on the registration paper. You simply select your name for your cat. There will be no cattery suffix because your cat is not going to a breeder for breeding purposes.
GoldenDots apparently is no longer breeding. Their Facebook page ends with an entry from 2015. Cazpurr mentions GoldenDots as an excellent breeder with a link to a website that is no longer active. The prefix is simply for TICA's use only and official pedigreed name for your kitty.
Also, I noticed your post October 31 in another part of the forum, you asked about the TICA cattery listing. Here is the link to the pdf file:
https://www.tica.org/pdf/cattery/cattery.pdfHave you given me the pedigreed names and registration numbers of the parents so I can check to see if they are in my database?