I'm more like a 1 hour person than a 50 minutes person.
The AA counter appears to open at 03:30, but Eve may know better than I do. The TSA checkpoints should open 1 hour before AA's first flight of the day.
I've got an 05:10 flight in a few weeks. I'll do a 03:10 wakeup, a 03:40 car service pickup, a 30 minute ride to the airport, and I should still have plenty of time.
But we all need to travel in whatever manner makes us comfortable. I know what works for me. Eve has done this enough times that she must know what works for her. I used to travel with an airline employee who was a 15 minute person. I would never wait for him, and sometimes wondered if he would really make it before the door closed. He always did.