In the presence of peroxide, styrene reacts with HBr to give X. When X is treated with magnesium in dry ether followed by CO$_2$ and hydrolysis, Y is formed. Treatment of Y with PCl$_5$, then with H$_2$/Pd-BaSO$_4$ gives Z. What is Z?
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Peroxide initiates anti-Markovnikov addition; follow Grignard to carboxylic acid, then Rosenmund reduction.