The answer is cupid. Cupid is a character that was often used in early english poetry as someone who created desire and impulsive lust. In A Midsummer Night's Dream, his power has a vital influence on the plot as he is the one making the characters desire each other.
This is an 'adverb infinitive'. It is not a participle, either present of past, because it doesn't end in -ing. And it is not an 'adjective infinitive' since its meaning is adverbial, 'you must capture or trap the other king' IN ORDER 'to win a game of chess'. Adjective has to modify a noun, which isn't the case in this sentence.
I pick A) to go. It look like an infinitive