Answer:
Anthony hoped to extinguish himself by winning the debate competition.
Step-by-step explanation:
The word "extinguish" is a term used to refer to a state of being completely destroyed or removed. In simple words, extinguish is used to refer to a state of complete removal.
In the given examples, the word extinguish is used incorrectly in the second sentence. This is because, saying that "Anthony hoped to extinguish himself" means he wants to be removed or even killed, which is absurd.
Thus, the correct answer is the second option.