1992 Johnson 150 Faststrike won’t stay running when accelerating

[Brian Avery]

Hey need help my engine runs like a champ no skipping, no sputtering, on the first time she starts. While idling she is fine no alarms sound, when I turn the switch I get my beep, as soon as I press the throttle down she dies and will not start. If I leave it alone for a half hour or so she will start up and purr like a kitten until the throttle is pressed any ideas?