In general, I don't know what it's connected to, but I was playing on a mirrored Diamond map.
At the end of my turn, I entered the observatory on the territory of the orange Castle, and after passing the turn, it started. The AI ran into a teleport and started doing something – going back and forth, without leaving the teleport – and it lasted for a very long time (I figured it would be infinite, that the AI got stuck in a loop), until we decided to exit the game and reload from the opponent's turn, and I didn't enter the observatory this time. It seemed to work, but there was still a delay after passing the turn, specifically during the orange AI's turn, but it wasn't long. Well, and it turns out that you can't do without the observatory, so I opened it, and the AI repeated its trick. In general, I started waiting. I did wait. But something is wrong here.
And when viewing the turn, there's also some kind of glitch, a long delay – it feels like the game is about to crash. Then everything is normal, but the opponent's turn is still not visible.

Perhaps the AI is incorrectly processing one-way teleports. It seems to have a limit on such jumps for regular teleports, but maybe not for one-way teleports.

If we're talking about a regular two-way teleport, then it's possible that the same teleports are used at the top and bottom (to save them), but jumps between planes through them are impossible; it only teleports to the same plane. If the AI doesn't know this and perceives such a teleport as a 4-way teleport, then maybe it's trying to get to forbidden exits.

If the bug is reproducible, please send the save file to Wizard.

Added 5 minutes ago

We tested it with Diablo x3dm1, it's very interesting, great templates, thank you.
In the game, one zone was flooded; I wonder if there's any way to bypass the generator with this bug?

It seems that in HotA they tried to fix this bug; I don't remember how it ended.

Added 1 minute ago

try experimenting with the contents of the spawn areas (ranges of spawn object values)

The contents don't really affect it... and moving it too far away from Jebus is ideologically wrong. Here, you need to play with the number and size of zones, and with the number of city-teleports in the center.

Added 6 minutes ago

Will they also behave the same way?

No. And this is the main problem with mirrored maps and AI.

For example, h3dm1 was originally with AI (instead of secondary players), but during testing, it turned out that the course of the game depends so much on the AI's behavior that it can no longer be called a mirror map.

On the mirrored Diamond map, it's easier in this regard, since the AI is far away, and you don't have to go to them right away, and then the main hero is better developed, and there are more troops.

Added 4 minutes ago

Those who played – I have x3dm on L and L+U, 2 players – it says that it cannot create such a map, how is it fixed?

Is HWrulez 1.34 definitely enabled?

If you rotate the Castle for the red player, does the blue one change synchronously?

The settings for h3dm1 are yes, L-U, 2 players, without water.