I was worried about this too! But my cat left him alone. I think cats recognize babies are babies. Mine just wanted attention from me and slept at my head like he always did. Just my experience though! He did go into the bassinet before baby was born but left everything alone after.
This was my worry too but the cats didn’t want anything to do with the baby with all the cries and jerk movements. Up to this day, 21 months, they still keep their distance
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