Today, 10:00 PM
Hi, congratulations and welcome!
This is all correct as far as it goes, but as you are finding, in reality it may not quite work this way. I don't think there is any need to time between feedings at all, except in order to be sure to wake baby to nurse if baby is not nursing often enough over all. I also think that day/night is not at all relevant to a newborn baby. Your baby may well want to nurse more often at night than during the day, and that is perfectly fine and normal.
One way to help the sleepy baby nurse more is to hold baby most of the time, avoid pacifiers and swaddling for sleep, and, if you can do so safely, share a safe sleep surface with your baby. Mom being in close, relaxed physical contact with baby as much as possible encourages more nursing. You may have heard of skin to skin, which means holding baby on your chest with both of you unclothed or lightly clothed. You can also try leaning back and holding baby on you close to the breast with easy access. This position (mom reclined, baby on top of mom, tummy to mom) is usually called laid back nursing, but it can be done when baby is NOT nursing as well. Safely snuggled on mom's chest is baby's natural environment.
Since more frequent nursing means more milk into baby, usually, It may be more helpful to think of overall nursing frequency, which at this age is a minimum of 10-12 times in 24 hours. Many newborns nurse even more often than that, especially if you count cluster feeds as...