No, there isn't a baby in the limited edition Death Stranding controller
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Death Stranding - Equipment Short Trailer
Official Sony PlayStation PS4 Limited Edition Death Stranding DualShoc – Dogghead Tech.
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PRODUCT: DEATH STRANDING - PS4
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Death Stranding Director's Cut Enhances PlayStation's Most Polarising Exclusive
Introducing the Limited Edition Death Stranding PS4 Pro Bundle – PlayStation .Blog