Bed sharing a bottle fed baby?

Bed sharing is the only way my one month old will sleep. My milk dried up a week ago so I'm formula feeding but I now hear your not supposed to bed share bottle fed babies? I don't fully understand why? We're positioned properly (midwife approved) and I'm such a light sleeper we aways wake up at same time.

Should I stop? I was previously breastfeeding so not sure if that counts.

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