If Claudes sire and dam’s registration is prefixed with SBT then they are registered with Tica.
Also, IF you were sent Claude’s Tica Registration number after providing proof of neutering to the breeder then GCCF will require you to get an OFFICIAL 5-generation Pedigree Certificate, (I think its 5 and not 4), from the Tica office to send to the GCCF. You would have to do this with both the sire and the dam unless they have duel registration, which your breeder will be able to tell you. I think that is all correct and if not then I’m sure a breeder on here will put me right.
Similar happened to me with Keet, his sire was registered with Tica and mother with the GCCF. It was a bit of a rigmarole and pricey but I got there in the end even if I did end up with a fancy official 5-generation Pedigree Certificate from Tica for his sire, a cat I didn’t own.