Answer:
It is a remote place.
Explanation:
Although there is no precise reference to the text, <em>"the middle of nowhere" is a phrase representing a very remote and usually isolated place.</em> So, the narrator and his family must think that his dad's home is far away from them and possibly far away from civilization, hence they call it "the Middle of Nowhere".
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.