Final answer:
The sentence contains a misplaced modifier. The underlined phrase is a prepositional phrase. The type of conflict the narrator faces is person vs. self.
Step-by-step explanation:
1) Mia's project was a failure, having not prepared properly.
The sentence contains a misplaced modifier. The phrase 'having not prepared properly' is modifying 'Mia's project' instead of the subject of the sentence. It should be rephrased to clarify who did not prepare properly, for example, 'Mia's project, which she did not prepare for properly, was a failure.'
2) After several minutes, Jazmine finally located her car keys.
The underlined phrase is a prepositional phrase. It is functioning as an adverb, modifying the verb 'located.' It answers the question 'when' Jazmine finally located her car keys.
3) The type of conflict the narrator faces in this passage can best be identified as Person vs. self. The narrator is struggling with their own doubts and skepticism, constantly questioning and being unconvinced despite the other person's reassurances.