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

Taken together, all of the above-mentioned factors can lead to diametrically opposed results for two different players (a stalemate or a breakthrough).
However, a more precise formulation of the block rule is needed, but I can't yet come up with a way to make it both precise and not "ambiguous" at the same time.
I need to think about it.

Therefore, I propose setting a specific value for the block. Restarting due to a block is subjective; it is the player's right to take it, not an obligation.
If there are formal grounds for requesting a restart – for example, 10+ ducks guarding a hive + a resource – this is a value of 10500. Guarding blocks, for example, the passage along the only road on 6lm10a; in my opinion, even if it is possible to bypass it by spending a few turns, this is a block. Further, the following sequence of events may occur:
1) The player scouts the map, finds objects, and decides to continue playing.
2) Saves the game, informs the opponent about the block, and contacts the referee if necessary.
3) Tries to break through and fails – well, keep playing or write "gg".
4) Breaks through the block – through skill, luck, or due to the army; it doesn't matter.

An important point here is that a restart due to a block is taken on the day the block is discovered and before an attempt to break through it. For reference on the value of objects, a link can be added in the rules topic.

I believe this is the most logical approach, as there will be formal grounds for requesting a restart, and the player will have the opportunity to decide for himself – based on his experience and the game situation – whether he can break through the block or not.