Night feeding help!

My baby is almost 2 month old and recently she started to develop a sleep pattern where she’d only take some 30-40 mins nap in the afternoon but sleeps through the night like from 9:30pm to 5:30am, then wakes up for feed every 2.5 hours in the morning.

Should I wake her up at night for feed?? I tried but she seems so sleepy that she drinks milk without her eyes open. I’m just worried if it’s too early for her to sleep through the night.

Any suggestions or experience is welcomed please :))