The first game that came to mind when thinking of AI Logic was the Nintendo well-known seller, Breath of the Wild (or BotW). Within the video provided to learn more, one of the examples given was Metal Gear and the topic discussed was Fuzzy Logic. In this example, this logic correlated with the enemy's line of sight. There are a lot of examples seen in BotW that are very similar. When Link, the character you play as, comes across an enemy, there can be varying circumstances. However, in most cases, similarly to Metal Gear, information is given to you above an enemy's head stating whether the player is seen or not but more accurately.
Within the game, the enemies walk around mindlessly until something catches their attention, like the player. If the player is seen from far away, it may take a moment for the enemy to fully realize they are there. The bar slowly fills up until it's too late and they're fully spotted, action music begins and battle ensues. This is briefly seen in the bottom right clip from YouTube with one of the enemies, the Lynel. However, the possibility of danger for the enemy also comes down to the specific type of monster or situation. The Lynel is territorial and even if the player is disguised as a Lynel themselves, it ends up attacking. Interestingly enough, if a Lynel is next to another Lynel, the same goes and they end up attacking each other. If the player draws a weapon, stands too close, or for too long, battle begins. Otherwise, Lynel-specifically, the player can walk on by no problem.
On the top right is a rare occurrence where an enemy may strategically light their weapon on fire for a battle advantage. I believe this may be an Algorithmic form of logic or maybe one of very low probability, which I find very interesting. Especially so, considering the enemy being smarter due to its color, being the highest difficulty / strongest of that monster. It makes me believe the probability of a enemy making a smarter choice gets higher as the monster gets stronger and stronger. I believe the same goes for the top left clip, being that it's an example of an algorithmic logic decision with possible probability included. The monster, being the same one, the Bokoblin, even as it's a lower strength/color it catches the boomerang the player throws at the enemy. This is also a rare occurrence so it makes me wonder if it comes down to probability, some sort of hit box, or if the logic decides to because the enemy has no weapon. I can't be sure.
Lastly, I figured to mention a Basic Logic true or false example. The link I provided under the videos shows an enemy Bokoblin running away when the player uses one of the runes called magnesis. Whenever the Bokoblin is exposed to a flying metal box, it runs away. I believe this to be some sort of simple decision-making logic as odd as it sounds, is a simple "if exposed to flying metal object, run away... else, react as usual."