If you know Puma building skip, just watch the second video.

So, regular Puma skip works like this: you run in the building, get close to puma, the jump up ahead of him, which confuses the game, Puma doesn't climb up the building, and you can go down and quickly finish him. demonstration of regular Puma skip: now, here is the interesting bit: sometimes Puma gets stuck in the large chamber in the building. If he does, it allows you to a. beat him very quickly b. after beating him and quitting to main menu (skipping the cutscene), when you reload the save, you appear next to the sign to the next area, allowing you to continue much quicker. Demonstration:

executing it correctly can save up to half a minute from regular Puma skip. I had this happen 3 times, only this once while recording. I don't know if its RNG based or if it can be influenced by the player. maybe if you nudge Puma to side just the right way?

Edit: Video links

I encountered this long ago. And all this time I thought it happened if you hit puma. And in my case,this trick would only work the first time you go into the fight. If you do this then quit,no matter how many times you reload the save/try again,it wouldn't work.

I wonder if you can make it happen by going in the tunnel first. going to do some testing now

After an hour of attempts, I managed to get it to work only about 10 times, I would say around 1/12 success rate (estimate, I didn't keep track of the actual number of attempts). It seems to happen when puma jumps to late, missis the ledge and falls down. It seems pretty random right now, It isn't influenced by punching puma, or running quickly in front of him. no clue if you could actually make it happen yourself ¯_(ツ)_/¯