one of the most compelling reasons not to increase thrust that I learned from early jet aircraft literature, is that the more thrust you demand from an engine, the higher the chances of it failing.
is this not relevant for the newer engines?
Not true for normaly functioning engines, but is true for a malfunctiong engine.
As always, fly the aircraft and don't just do stuff without thinking first.
Hopefully the finer points of this are covered in your training.
Dithering one throttle at a time is fine, but firing a bottle is permanent