Your identity changed too but it's celebrated only quietly.
You were back at work in two weeks and somebody called it a break.
There are things you physically cannot do, and it is hard to feel useful sometimes.
You didn't read all the books she read, but you still want to know how best to help.
You tried to schedule the pediatrician appointment but they kept asking for mom's contact info.
You hear about postpartum anxiety, depression, and rage, and aren't sure how best to support and care for her.
None of that makes you a bad partner. It makes you a person going through something enormous with no script for it, in a system that's still evolving to really recognize dad.