Nadie.
Patricia is supposed to respond with the opposite of whatever Victoria says. Victoria said, “I’m going to speak with someone.” Therefore, Patricia should said “I’m not going to speak with anyone.”
Double negatives are allowed in Spanish, so the correct word which is the opposite of “alguien” is “nadie.”
The sentence is in the second person singular (you). Therefore, the correct pronoun is tú.
They are both in South America