find the connected covering space of $\mathbb{R}P^2 \lor \mathbb{R}P^2$

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This is a problem on Hatcher' book. How to find all the connected covering spaces of $\mathbb{R}P^2 \lor \mathbb{R}P^2$? I don't know where to start. Is there a general way to construct the connected covering space of a giving space?