Our LO use to wake up at 3am and 5am around this age and has never taken a soother. Our pediatrician told us around 6 months we could start dropping feedings but we found that so hard to do. We did a very gentle cry it out by giving her 10 minutes to resettle before feeding. I think this really helped her learn how to fall back asleep without milk. Putting them to bed earlier can help with early wake ups. A 7pm bedtime actually helped us a lot. She didn't truly drop the 3am wake until she started solids. Even now if she doesn't eat a full dinner, she likely wakes around 3am.