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If the problem lies specifically with the objects, then in the future, an extended template format is planned, where the list of generated objects can be customized manually. This will include adding those that are not currently generated.
PS: After reading the "Rules for online games in Heroes III and the seasonal Ranked Tournament," I became even more convinced that HotA is not a universal expansion, but rather one that is much more geared towards online games. (This includes the ban on Fortress, Cartographer, and Conflux with Necropolis. All these things are present there.) That is, the thoughts about ordinary players (I repeat, I don't know how many there are) in Heroes were somewhat further from the mod developers.