Start-up TGT peak
In the current version of the sim, the start-up TGT behavior is somewhat incomplete.
Normally, as you bring fuel, the TGT will quickly increase to a high value (usually around 700deg C, with some random spread depending on engine time, tailwind, OAT etc...) before dropping to idle TGT value as the N2 spools up. The pilot will activily monitor in order to prevent a hot start situation.
I made a graph from values obtained on the real 146-200:
You also can clearly see this behavior on the video below, at 1:10, for all 4 engines:
I would not be surprised to hear it's a limit of the MSFS default engine model (indeed, default airplane doesn't see to mimic this behavior). But I don't know, maybe there's a workaround of some kind, those details are nice to have