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

You can plan the movement of heroes even during the opponent's turn, and not just for one day ahead.

Of course. :D You planned everything for several days ahead, your turn came, you moved your first unit and revealed your strategy... Of course, all your plans remained exactly the same?

And some difficult battles that open up good opportunities should not be conducted at a frantic pace, leading to defeat.

That's absolutely right, but only some difficult battles should be planned BEFORE the attack, not after. That's exactly what chess clocks are for, to allow more time for a complex move than for a simple one.

It's one thing when a player spends a minute thinking about where to move - one step to the right or diagonally, and another thing when he simply doesn't have enough time to conduct five battles with a long chain of units in one day.

But who is to blame for the fact that he spent all 4000 seconds and doesn't have enough time? The player must manage his time wisely. Anyone who has played chess knows this.