Puppy before or after a baby?

Wondering which is recommended? I am childless atm, and my thought process is that having a puppy first will enable us to have it trained prior to having a baby. Hopefully stay, leave it, etc will be helpful before a baby comes around.

My family is under the impression that I have this order backwards and should have a child first, as I will be too overwhelmed to care for a dog when having a newborn.

Any thoughts or experience you can share is appreciated. I’ve researched a lot but haven’t seen this question answered. Thanks!

Edit: tons of answers and personal experiences, thanks for sharing! While there is variety in recommendation, the dominant response is puppy first, and ideally , baby 1.5-2 years after.