if there's a finite number of possible codes, isn't there a finite number of alchemizations? also, how is it possible to captchalogue everything if there's theoretically and infinite amount of possible things to captchalogue?

Think of SBURB like a program. The program has a finite amount of space to work with, but it tries to generate instances for everything the Player may interact with or do. There IS a finite number of combinations- But exhausting them all would take an eternity for the Player. Even if they did exhaust it, there’s also the possibility of Codes overlapping as long as they’re made in different ways? It’s also possible overlapping codes will overwrite the least relevant item. Skaia knows, after all, everything you will ever do, so in your Timeline, you may have items allocated for all sorts of random codes ensuring you never apparently run out of combinations, even though if you started to intentionally make stuff just to exhaust combinations, you’d run out of them in due time.