3 month old. Night feedings??

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When my 3 month old wakes in the night I offer a paci, which he usually takes and falls back asleep. Is this okay to do? Or do i need to make sure he is eating in the night??? He will fall asleep between 10-11 then sometimes will wake up around 3, I offer him the pacifier and he usually takes it. He will wake up around 5-6 am which then i get him up and in the recliner with me to nurse.. is he going too long without eating?? FTM and not sure about this..