If I downloaded a full game, say, Dragon Age, onto my hard drive but now its taking up too much space, will I have to pay for it again if I delete it for the time being to make room?

no, in your account there is a download/purchase history option that gives you the link again, or it should show up as purchased in the store

the only time this would be an issue would be if it was DLC on a separate disc, like fallout or oblivion GOTY, if you delete those and don't have the disc again you're fucked

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