Random oracle : Replay
As far as I know, the "random oracle game" doesn't exist. What your are speaking (I think) is about pseudo-random functions. And when the challenger (not the oracle) is in the "RANDOM" mode, he could keep in memory the pair input/output, according to previous queries. Then it doesn't need to output "error", he could return the same output as in the previous query.

references:

en.wikipedia.org/wiki/Pseudorandom_function_family

https://crypto.stanford.edu/pbc/notes/crypto/prf.html