Catch
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Your algorithm doesn't work.
1. The number of heroes in the opponent's taverns doesn't always depend solely on the number of AI opponents.
2. You also need to account for hired heroes.
3. If you dig in the left slot of the tavern, you will never dig up a hero of the same class as in the right slot.
1. What else does it depend on?
2. Hired heroes can be easily viewed using the debug menu.
3. That's why we have two tavern slots, so we can dig in either one.
I'm saying that it can be determined using purely in-game methods. And in Heroes of Might and Magic II, for example, I did this in some tournaments when I needed to check all available heroes for a specific skill upgrade. In Heroes of Might and Magic III, there's a simpler way - a sniffer.