3 month old not sleeping through night

my baby is 3months 2 weeks old. some days she sleeps early at night and wont wakeup till morning. but somedays she wont sleep till 3am and still wakeup 2-3hrs for milk. maybe can set a routine, lessen their nap time dont go more than 2hrs per nap. nighttime, find a soothing music or like my baby she will sleep to the sound of rain 😂 darken the room, makesure her diaper is change and she/he is well fed. after they sleep continue putting ur hand on top of them for abt 20mins enough time for them to go into deep sleep. if they wakeup for milk do not turn on the lights dont make eye contact cause they might think its playtime 🤭 as for contact naps, keep on trying to put them down to sleep. its okay if they wakeup 15-20mins after , soothe them and try putting down again. you can do this mama! some days are easy and somedays are hard. i fully breastfeed so my struggle is the only way to soothe or put her down to sleep is to latch 😂 no pacifier no rocking. trial and error okay ❤️❤️