I would suggest passing current round and max rounds to bots
You could allow them to use window.localStorage or provide them a storage class and that would allow for counting round numbers, but if your maximum round number is going to change in the future, you would need to pass that
So passing round number along it could be logical. It will increase performance as well since each bot doesn't need to separately store, retrieve, increment a number.
@BetaDecay, I meant across the rounds of one game, and not files, just something like the botNotes in the Gold Collectors KotH.
Anyway, passing them can't break anything.
@Night2, I delete them if I see such a comment of mine.
@BetaDecay, I think that window.localStorage is a huge overkill. Storing things across rounds of one game is useful to keep state, storing things across multiple games probably isn't so much.