I'm going to cut my daughter off financially but not my son
What makes you want to cut off your daughter and not your son?
My daughter has an addictive personality to online games and she's wasting the money I worked hard for
While it's definitely wrong to waste money on video games, it's also wrong to stop providing for your kids specially if done unfairly. I would recommend you get a professional to help with your daughter's addictive personality disorder so that she won't spend money on online games.
Don't tell me what to do.
I am just telling you that your daughter is just as deserving as your son of your financial help and picking one over the other is wrong and could mess her up emotionally.