Ment
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If by "parameters" you mean a bonus given to objects visited by a hero, then there are two options:
1. Create a mod. The mod will affect all objects on all maps, but this is elegant in its own way. If you dig through the game's resources and find the numbers that need to be changed... And if they can be changed.
2. Write a script. This eliminates the drawbacks of a mod; it always works and only affects the objects you want. You need to reset the object's standard trigger:
SetObjectEnabled(object name in quotes, nil);
And write your own touch trigger.