Should I keep my baby awake during the day to gain better sleep at night?

Julian

My three week old sleeps better during the day. He sleeps in 2.5 or 3 hour increments between 9am and 5pm. But at night after his cluster feeding around 9pm to 7am he sleeps in 1 or 2 hour increments.

Do I need to force him to stay awake longer during the day so he sleeps better at night? Is that a thing for newborns or not yet?

He is bottle fed with both breast milk and formula. Usually formula during the day and breast milk twice at night..

I don’t latch him because I dont produce enough and he intakes about .5oz per side which is why I collect throughout the day by pumping.