Weird starting issues

[Ophidia]

I just bought an 04 GP GT. Almost immediately after I signed the papers, it started having starting issues. What it does is spin the motor just fine with the starter, but just fire a little and miss then die. If I hit the throttle at just the right time, it'll start. I thought maybe the battery had some lot rot, but charging it had no effect. I'm not sure where to go from here. Ordinarily I'd say IAC but this looks to be drive by wire so no IAC. Once started it runs just fine.

Ideas?