It’s normal. My baby was like that too and she’s colicky! Those days were tough but it does get better with time.
My baby starts to gradually sleep through the night when she’s 2.5mth old. Her last fm is usually at about 10pm and we dragged her next feeding from 1am to 2am and then 3am …… eventually she’s able to sleep till 7am
You will get there too. Hang in there. Coffee is your saviour now