IPhone 4 Backplate stripped screw

So I've got 2 iPhones an AT&T and a Sprint. I'm trying to place my sprint battery in my AT&T iPhone since it has a bad battery. So the sprint iPhone has 1 screw in bottom and its stripped. I tried tape and rubber band, rather not go and buy a strip screw extraction set if I don't have to. Please help this is super urgent As soon as possible!

That's what happens to iCraps because the backplate is only supposed to be removed by a "qualified" person and is therefore not at all user friendly…

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