There are two aspects to the chinuch obligation here. One is certainly to teach your daughter how to overcome the middah of jealousy. That’s the “teaching” part of chinuch.
The other, no less important, is to ensure that you don’t (even inadvertently) make her struggle any harder. The Torah tells us that parents “should never differentiate” between their children in the way they treat them. We need to do our best to treat all our children equally and listen to their concerns and take them seriously when they tell us that they feel we’re being unfair. To illustrate this, Chazal discuss the case of an orphan who is about to get married and asks for the same kind of wedding and dowry as her older sister had. They teach that her wishes should be respected, despite the difficulty of securing the funds.