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She is holding out the infant a little pathetically, as we Black Out.

I think, here, holding out means (taking care) and Black out (to lose conciousness about the presence of child).

Please help me.
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Context, context!

hold out something
means to hold it out - have it in your hands which are extended away from you.

Why we "black out" is unclear. It could mean losing consciousness; it could mean that we are covering over the windows so that no light comes in.
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Feebs11Context, context!

hold out something
means to hold it out - have it in your hands which are extended away from you.

Thank you Feebs11.