Need to arm carry every night to sleep causing sleepless nights. Any advice?

my 1st 2 months is a real struggle. i only sleep around 2-4hrs a day. my baby wakes at 3am crying hysterically and i need to carry and sway her until 6am. now shes 3m she no longer crying at night but still waking up to feed, pass gas and then continue her sleep. i think she get so fussy last time because of her gassy stomach and the urge to poo but shes so sleepy to let them out 😂