Answer: The infinitive phrase is ''to win in any game he plays".
Explanation:
An infinitive phrase is a group of words that uses an infinitive. The infinitive is found at the beginning of the phrase (to + verb) and is followed by modifiers/objects. These phrases can function as nouns, adjectives or adverbs. In this particular example, the infinitive phrase is used as an adverb, because it answers the question of <em>how</em> Andrew plays.
If Joey decided to take Pre-Calculus his senior year in high school because he plans to go to college then this is a wise decision that puts future goals ahead of short-term fun.