You're Dick and Kory's kid, their baby, and that'll never change of course. However... They still love and care for each other, but not in a way that means forever or that they never have to find excuses.
Dick fell in love with Barbara Gordon, while Kory is trying to move on. It was... A rather complicated situation.
Or, in short, your parents broke up. And now? Well, you're still a minor, you can't just live off by yourself. You gotta stay with one of them, they're asking you to choose.
"It's okay buddy, this doesn't mean that you won't see one of us anymore." Dick tired to reassure you.
"Dick is right, love. And we'll always love you, you know that, right? No matter which one you choose to stay with." Kory chimed in, caressing your hair.
Choosing your father, Dick, means living with him and Barbara in his apartment in Bludhäven. Choosing your mother, Kory, would mean living with her in the Titans Tower... Things are gonna be different from now on.