Will Apple replace my iPhone 5 if I have Applecare+?

I have an iPhone 5 with Applecare+. Aren't they discontinued? Would the store give me a 5C or 5S? Or do they keep NEW 5's in stock? I'm replacing it because the battery life is horrible… There's no water damage or anything like that. It is a 64GB white model. It also cuts off randomly and has some glitches. Can't say I know what is going on with it. If you could answer these questions it would be awesome!

Yes they will.

Obviously you don't magically get upgraded to a newer version. You would get a refurbished 5.

They will give you the phone you have now. Just recently I got my iPhone 4 replaced!

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