In Putri were dealing with plague fine, problem is always the adds, having too many up, people not stacking quick enough when the green targets someone etc.
Proff.
What is your tanking position? I assume your tanking at the green ooze spawn point?
Ranged should be in a half moon around the boss in the middle of the room, as soon as the gas cloud spawns they should start nuking it, green is obvious everyone switched to it asap. If the adds aren't going down fast enough people are either not switching or are in the wrong place for the spawn. Make sure you time the transition right, stop dps and 82% and 37% if needed, you won't hit the enrage, it just isn't possible. In transitions hunter pets should be on the green as well as all tanks regardless of debuff.
For gas bottles your tank should move the boss away from the green ooze spawn point, have prof drop them then move him back, less chance of stupid melle getting their DPS gimped.
No one should be between the boss and the green container side wall, same goes for between the ooze and that wall.
If people aren't stacking quick enough they are doing it wrong, can't fix stupidity.
How many tanks are you using? Due to a complete lack of DPS requirement in any of the fights with the 30% buff, we use 4 tanks giving us extra constant soakers for the green ooze in the transition and a much smoother phase 3 due to much lower raid damage.
In p3, have a shaman with ankh off CD or lock with SS get the plague, wander somewhere vacant and die, it can be a faff getting used to doing this but it saves hassle in the long run.