they actually don't need a bottle at that age, it's up to you whether you choose to give one or not. Problem with it is it will become habit, and could be already, and he will just associate waking with bottle. I would be resettling by just patting him and putting my hand over his eyes and teaching him to go back to sleep. Coco has had last milk feed at 6.30pm for at least 5 months . If he's eating meals then I doubt it would be hunger.
Iknow my nephew was in that habit and having midnight bottles at 3 years until my sister decided ENOUGH! It took two nights to train him out of it. Was definitely habit.
good luck xo