Why is there no surrender?

I have seen that in the game you can't move the king to the fire, but if it is like that, then you can. Then the opponent can take the king away, which means a loss. Because then the users would pay more attention in the game to where they are going.

According to the FIDE rules of chess, you cannot capture your opponent's king. So this would be an illegal move.

Yes, but the program could allow a wrong move to be made - perhaps with some delay - something like in Lives, if you hold the button in your hand but haven't let go, then the opponent cannot claim a wrong move with this button (come-go). And if, with some delay, this wrong move is not taken back by the player, then an automatic loss. It could be applied only in the case of come-stay or come-go; the delay would then be, for example, 2 seconds, of course from the player's current time.

According to FIDE rules, a wrong move does not automatically result in a loss, read the rules.

I haven't really read the latest ones, but it should still be in Blitz!? In the meantime, in so-called regular and rapid chess, I guess 2 false moves and a 3rd loss were allowed? And why couldn't such rules be applied in the modern AI era?

First, a chess clock should be built next to the table, pressing which will start the opponent's clock.
A move is considered completed only after the clock is pressed and the opponent starts it, there should be no automatic start.

Flash also doesn't have an immediate loss for a wrong move.

Well, I really don't know today, but for about 5 years it was still there, and it was quite definite and with a reason, because people started to exploit this "mistake" simply to create confusion and gain time.

There was even a Soviet Union and its chess code.

Already on January 1, 2018, there was no immediate loss for a wrong move in blitz chess.