Judge part of a tournament
Well, I think when you observe anything wrong, you should point out no matter you are a judge, a player or even just a spectator. So, just like Ji Li and William said, “pause the match and fix it”.
About “missed trigger”, extort, and such, is optional, it may not a good idea to point it out during the game, point out to player after the game is a good idea. (remember to tell them as it is optional that is the reason why you cannot point out during the game)
For non-optional one, it is simply an error that we would simply point it out. I think just act as what you would do if at the judge role would be good enough.