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

What is the Tournament Module?

The last option in the text file: HD3Launch.exe -> More options (ini file)... -> Tournament Module
= 1 - enabled.
= 0 - disabled.

If = 1, then:
1. The game automatically fixes map bugs (duplication of heroes, graying out of cities, etc.),
2. In single-player mode, there is an 'invite hero' option in the tavern,
3. Movement points are displayed,
4. The following options are available in the game:
a). 'Fix game bugs' (selling artifacts, peeking at the opponent, leaving a hero without an army, pikemen in the mercenary camp - this bug is only fixed in multiplayer),
b) 'Start the timer after pressing 'OK''
c) 'Protected saves'
In addition:
5. Continuous display of the remaining time for the turn, regardless of which window is active.
6. Chat in the city window,
7. Template selection directly in the game,
8. Ability to configure alliances.
I don't think I forgot anything...

If = 0, then none of this is in the game.
By default, Tournament Module = 1

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Is it possible to add an option that allows saving games without archiving them?

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I will add the ability to launch the game with the .exe file without options in the next beta.

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Rendering in the city is a known bug for stretched 32-bit MMX
- it will not occur if you do not move the mouse after entering the city until it appears on the screen (on slow machines, the bug manifests not only in the city). I don't know how to fix it yet.

Crash in the city... I'll take a look... thank you for the report