Ok, I'm quite noob here, so don't flame me like this:'' zomg, get a higher level and pwn them, learn to play in real time'' etc etc
The thing is that when I got my pistol ammunition and other stuff for survival I wanted to complete the quest Dogs of LA. I went to the location and there were about 8 dogs, thats normal. But after 5 seconds I understood I'm not in TBB and I have only 2 health left. I got lucky and ran away in the last seconds. It didn't matter, did I shoot at them or they bite in my leg, it still didn't go into TBB. Right now I'm waiting in dessert and waiting for FA time out ending. It could have ended lethal. It should be fixed.