let me assure you-I am not trying to say you have done anything wrong. Some moms choose to formula feed or try to combo feed because they think it is easier. I disagree in general, and know this choice will typically hurt or end breastfeeding, but of course this is their choice. There is no wrong or right about it.
But I have had too many moms call me or come to meetings 3 or 4 months down the road-or longer-who 'gave up' nursing in the early days because it was so hard. What they realize later was that it was new motherhood that was hard, not breastfeeding. So weeks or months later, when new motherhood begins to be more manageable and they have time to think about it, they regret that they stopped nursing and desperately want to nurse again. I have to tell you, these are heartbreaking calls. These are the meetings where there is not a dry eye. Because while re-lactation is possible, it is really hard. Not only must milk production be brought back, long after the ideal time for increasing production (the first 6 weeks) but also, baby must be brought back to the breast. There are no guarantees either will happen. And everyone recognizes-perhaps too late-that things may have been so different if the mom had only found the support she needed early on with the demands of new motherhood, help with breastfeeding problems if there were any, and been given accurate information about infant feeding and behavior so she could make an informed choice.
I don’t really understand why you are supplementing, if it is needed due to poor weight gain, or what. But no matter why you are doing it, you could consider this- Supplementing and pumping (which yes, is generally needed if you are supplementing, no matter why you are supplementing) are not part of normal breastfeeding. Society has normalized something that is actually a medical intervention that has side effects. For mom, they may cause MORE exhaustion, interfere with normal breastfeeding progress, and undermine a mother's confidence. If supplements and pumping are needed, it really is important to understand what is normal and what you can to do to reduce the chances these interventions will undermine breastfeeding.
A new baby needs pretty much constant comfort, it does not all have to be at the breast. Assuming a baby is gaining well and nursing at least about 10 times a day, no need to put baby to the breast or otherwise feed baby at every cue if you need to sleep. You can try having your husband or another helper walk baby around, take baby for a walk outside, or take baby for a drive while you sleep.