Posts from your questions regarding the game rules (improving the interpretation).

4th level 20+

And what about mages or vampire lords? IMHO they can already be considered a block of 10+, although the latter can be broken by Necr or Conflux.

- using bugs that affect the game in any way is prohibited

They all have some kind of impact, and I think we can be more specific here, like bugs that affect the duration of a hero's turn (like with the hat) or the course of a battle (I don't have much experience with this, but I remember something about an infinite berserk).

It would also be good to add the rules for HotA to the rules section, as there are some clarifications for the Warlord Tournament there. Or, in the HotA section, publish the rules.

Suggestions:
For restarting a battle based on a unit block, you could add a clarification in the corresponding section of the rules. The block value could be tied to the level of the units in that block. For complex units (e.g., archers, storm elementals, grand mages, corsairs, vampire lords, mages, medusas, enchantresses, liches, cyclops, charadees) - set the value as if they were units one level higher.
For example:
Level 2 units - 15 to the block,
Level 3 - 13 to the block,
Level 4 - 11.5 to the block,
Level 5 - 10 to the block,
Level 6 - 9 to the block,
Level 7 - 8 to the block.
Block based on level 1 units - only if it blocks the exit from the city and cannot be bypassed.
A mandatory condition: it should be checked whether there is a possibility of restarting without any losses.
For example, with a miner, if there are no regular ogres, you can easily defeat 11.5 units. Therefore, the player decides whether to take the risk or restart.

Regarding the Hive Mind again - previously the rules allowed using battle magic on one's own units to reduce the ransom cost, I don't know why this rule was abolished.

Also regarding Red March - it is allowed only on HL+U - I suggest adding Jebus Cross/

Also regarding heroes specializing in Offense/Defense/Logistics - if this can be programmatically limited so that the bonus from the specialty increases up to a maximum of level 20, and then remains unchanged (at level 20 - the specialty increases the skill bonus by 2 times, i.e. expert Offense skills will give - 60%, Defense - 30%, Logistics at maximum speed - 1200 MP instead of 600)

The Grail can be dug starting from week 2, day 1, now after 5 weeks - i.e. from week 2, day 2, turn 1

And also preferably in the rules section - add rules for HotA, as there are clarifications there for VT. Or in the HotA section - publish the rules.

You're going off on a tangent, some values, and it doesn't matter what those units are, what matters is how much of your army remains on average after breaking the blockade - if it's less than half at a rough estimate, then it's a blockade, if the opponent disagrees, then there's a judge, write to him immediately

It seems like a good idea – offer an argument, but in real games, I don't see it being implemented in the first turn (if we already have this magic, then our army should also be good, and if we're short a few coins, well, it's our own fault for not preparing for the ransom – that's how I see it).

Nothing was planned programmatically; we just need to organize the rules.

For example, if you want to buy off your opponent's hero, they will have the first turn, and instead of removing unnecessary troops to reduce the cost of the buyout, you take them with you into battle. Tactically, you position archers around your stack – the opponent can use 'wait' on their first turn, but then you can rain down a meteor on them, making the buyout cheaper. There can be different situations, and I don't see this as a 'hit and run' tactic.

The Grail should have been allowed to be dug up without restrictions a long time ago. Instances where it appears on the starting map are rare. And then you have to dig it up, which slows you down. You find it, but an opponent who has already explored the map defeats you...