Exzorcist
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Of course. The Heroes 7.5 Ultimate Edition mod with four new factions can only be installed on the game with the Heroes VII: Trial by Fire expansion.
The Trial by Fire expansion is required.
Actually, it's not really required (although that's what the official mod instructions say). My friend and I personally played the licensed Heroes VII without Trial by Fire, and it worked perfectly for us (at least, we played one full late-game match).