That limit is for sending consecutive messages. In other words it will not be a problem here, since the contact replies with something (1, 2, 3, ...) each time...
Well, as long as the bot reply isn't like more than a few lines of course.
dani1001, I'm not quite sure about that "moving to another account" though. What's the use of that? Why not integrate the needed info in the same script on the same account?
It would be highly annoying to the contact if he needs to add (and again remove) different bots each time. Not to mention that if you want to control those different bot accounts on the same PC you'll making it yourself extremely hard since scripts run per Messenger session, not per user account, by nature. This can be circumvented, but it would be making things unnecesairy complicated. So I would say forget about the idea of "moving the contact to another bot account" and try to interate the different categories of responses in the same script.