I’ve gotten Kate to the point she asks me if “I can help her with anything“ and a box pops up asking me to type something in, what do I need to do here? Did i miss anything ?
Reaper has already straight up given the answer, but to address "Did I miss anything":
At the end of her fourth riddle set, your character asks what they won, and she says knowledge that will be useful some day (in this case, right away).
You simply have to give her the four letters you gave at the end of each of her four sets of riddles - E, R, O, V.
Then she'll say "You're looking at things backwards", which of course means type them backwards this time.
Thus, "vore".
She'll explain immediately why she chose that word.