Nowaru

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How many cells are on the map?

Normal – 24 by 24. Depending on the location of the battle, there may be obstacles and so on. In some cases, the size may differ.

Where do they start from?

Depends on the situation at the beginning of the battle.

Turn order?

The turn order is determined as follows:
1. Whether the character has a bonus to initiative.
2. The value of willpower.

I basically understand: there are 120 (usually) points that are distributed among 6 characteristics with a limit of 50 for each. There are about 8-10 talent points, which are used to acquire various perks like physical training / various spells.
What are the 3 specializations and 1 education? Is it somehow related to the brown numbers after the orange ones (orange means cost, I understood)?

[table on the first page]
OH - characteristic points. Minimum - 5 (except magic), maximum - 50.
OT - talent points. Spent on these skills.
Specialization points are spent on gaining access to the selected set of skills.
Education points are required to learn skills requiring education (highlighted in dark red).
Spell points = 1 OT = 1.5 OW.

Extra turn

The character takes two turns instead of one.

First strike

Highest form of initiative.
In addition, in situations where a character can respond to an opponent (whether it's a counterattack or a shield bash), the character performs an action before the enemy attack hits him.

What is the chance of paralysis for Orcs?

Calculated randomly based on the MEN values of both characters.
You can only choose one colored bonus.

Stun

Similar to Orcish paralysis, but here the increased dexterity value of the attacking character against the endurance of the defending character is taken into account.

Here’s more detail about “ran and hit.” And if you hit first and then run away (H&R, yeah) – is that possible? Or does the turn always end with an attack (shot, spell), like in Heroes?

It is possible to attack after moving (melee combat, magic, ranged combat with the "quick mind" skill).
It is not possible to move after taking an action (exception for mages with the "quick mind" skill).

An additional feature of Melkoreans - does this mean that they initially have shooting and archery skills, or do they automatically take up a free specialization slot and abilities?

This is a bonus.