at 2 months your baby is just a newborn. most babies fall into a sleep pattern only once they are about 6 to 8 months old.
your baby will wake up multiple times through the night, feed a little, rest and then want to feed again. i am sorry but it is going to be a few months before you can get some good sleep through the night. to make sure you do not fall sick, try sleeping whenever your baby does. if your baby wakes up and just plays by self, let him do so. if your baby needs a feed, do so and then put your baby down again to bed.
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