I had that happened to me many years ago with a 65 barracuda with 273. It ended up being the coil was worn out. When the coil got hot from being near the hot engine, it just quit. It would run fine when the engine was cold but as it got hotter the car wouldn’t run.
I've had this same problem. Coil replacement fixed it. But, back to the battery and charging. You'll ruin that new battery if your charging system is not working, so check it too. Don't leave your battery half charged after that breakdown.
