I started letting baby lie on her pillow and drink since 2 months old. She also prefers lying down rather than me holding her. You might wanna try? :) I’m using those flat head pillow so it’s not very elevated. Another thing to check for is the bottle teat. If the teat is too slow, they will get tired from sucking.
LO been fussy at the bottle too for a month plus, now she's 4MO. I let her sit on my lap and lean back on my chest then I'll feed her. She seems to prefer it that way now as compared to cradle hold.