Im not an expert around this area so these are MY OWN SPECULATIONS!
YouTube - PilotsEYE.tv-Nordpol-Airbus A330-200-part#1
Follow the brief you will see the fuel required is 81.5 Tonnes.
At this flight it was 300 pax onboard. ( 27.5 T)
Empty weight is 124 T.
So this would give you a TOW of 233T (MTOW).
The actual thrust setting is TOGA.(look at the movie you see)
TOGA is only used when limited, so you see by yourself it's not weight restricted cause of the thrust setting. (For interest V1 156knt VR 156 knt V2 163 knt
)
Flight was in a morning in early MAY. Maybe low temp outside?
Runway is 3000 m. 100 m from your numbers wich is at standard day
SL +15 C.
So as many said before you should trust them. I know its not easy too be young but you will learn! Continue your homework
EDIT: Just saw that they using CONFIG 3 wich is based on Air Conditioning OFF
Greets,
Robini