02 tl stalling after startup

I’m new to this forum stuff so bear with me...

my 02 tl starts perfectly, idles a little high (1100 rpm), but when you try to accelerate it starts to stumble and attempts to die. But it never dies or throws a check engine code. I’d relate it to being like a carburetor with a bad accelerator pump. I can pump the gas pedal and get it to move in a jerky fashion or If I just hold the pedal in one spot it tries to die, then accelerates then tries to die. However 30 to 45 seconds of this and it runs perfectly. It does it with the engine hot or cold, and weather appears to have no affect. Ive cleaned idle air control, no change. I’ve tested the tps with my code scanner and it appears to be fine. I’m baffled. It seems to be something in the initial startup phase but I don’t know a lot about these cars. This thing has given me 255k of reliable miles and been a great car and I can’t let it beat me on the first difficult issue it throws me.

Thanks ahead of time for any help!!