Question about the map "Empire of the World".

Pomazok1329 Have you encountered maps where, after a certain time (e.g., every first day of the week), heroes appear and attack, possessing the same characteristics as the defending hero but with a larger number of troops, all converging through a single path (or several paths, like in Dota or Warcraft)? I would like to have all witch huts near my castle, allowing me to acquire the desired skills, rather than being limited to what is randomly available. No enhancements or places to replenish troops; artifacts should only be obtained in battle. In other words, all conditions should be set for a fair fight, rather than wandering around the map to "recharge mana" or complete quests.