A bottle in the night is really unnecessary at 10 months though. This is especially true when formula feeding. Breastfeeding is more about comfort than milk so it is different.
I would make sure the bedtime milk feed happens first in the bedtime routine. Say milk feed downstairs, upstairs for bath, brush teeth, into night clothes and sleep time.
I would also night wean. Instead of milk, work on a way of consistantly establishing a settling technique.
I'd then, if it was me, remove one side off the cot and wedge it up to my bed. Ar sleep time I would lie on my bed, baby in sidecar cot. Id cuddle right into thr cot with the whole of the top half of my body.
Have a comforter you. I'd establish a dummy too, otherwise there'll be lots of crying.
Then I'd be relentless about it. Lie next to baby. Eye contact, cuddles, shushing, keep your hand on baby's chest. Try to still baby, so hold hands if arms of flaying, place a hand on legs if lots of kicking. Just be consistant about it through all of the crying.