HoMM3 HD is a mod (add-on) for the game Heroes of Might and Magic 3.

TE and WT were obtained, among other things, by cutting out a lot of shit from VoG.

Alexander, you shouldn't put it that way. VoG (as a game) and, accordingly, everything based on it was made thanks to the VoG platform, and one should not judge the platform by the game.
TE was created almost from scratch (from SoD, upon which the VoG platform is built) — through table edits, NEW scripts (well, with some reworking of the VoG start-up scripts, of course, where various counters, timers, macros, and subfunctions are located; the rest of the scripts are original), very minor changes to the exe. WT was also built on top of SoD+VoG, and balance changes were taken from TE, as they had proven themselves in professional tournaments (on Bay).

And VoG itself is based on VoG, with a bunch of scripts and additional bells and whistles, but here hundreds of people simply worked to contribute their own developments, which resulted in a kind of mess; BUT the platform allowed all this, and the VoG platform is one of the most effective Heroes engines, both in Russia (plus co-browsers) and abroad.
I hope I've conveyed the thought and understanding :)