Protectorate isn't significantly different in power from the other two bots, as they share similar logic. The difference lies in the tribute and troop deployment mechanics, so if you've defeated the other two bots, you'll likely defeat it as well.
out of topic but I realized that y'all wrote it as "nayara" which reflects the Magadhi Prakrit not having that "ga" sound but rather the "ya". I like these little odes to history (In current sanskrit its pronounced Nagara)